{"id":2160,"date":"2022-11-10T13:21:44","date_gmt":"2022-11-10T13:21:44","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=2160"},"modified":"2022-11-10T13:21:44","modified_gmt":"2022-11-10T13:21:44","slug":"ncert-solutions-class-7-maths-chapter-13-exponents-and-powers-ex-13-2","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-13-exponents-and-powers-ex-13-2\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 13 Exponents and Powers Ex 13.2"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 7 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 13 (Exponents and Powers)<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 7 Mathematics <strong>Chapter &#8211; 13 Exponents and Powers\u00a0 <\/strong>Exercise 13.2 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Chapter : 13 Exponents and Powers<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-13-exponents-and-powers-ex-13-1\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 13.1<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-13-exponents-and-powers-ex-13-3\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 13.3<\/span><\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 13.2\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. Using laws of exponents, simplify and write the answer in exponential form:<br \/>\n<\/strong><strong>(i) 3<sup>2<\/sup>\u00a0\u00d7 3<sup>4<\/sup>\u00a0\u00d7 3<sup>8<br \/>\n<\/sup><\/strong><strong>(ii) 6<sup>15<\/sup>\u00a0\u00f7 6<sup>10<\/sup><br \/>\n(iii) a<sup>3<\/sup>\u00a0\u00d7 a<sup>2<br \/>\n<\/sup>(iv) 7<sup>x<\/sup>\u00a0\u00d7 7<sup>2<\/sup><br \/>\n(v) (5<sup>2<\/sup>)<sup>3<\/sup>\u00a0\u00f7 5<sup>3<\/sup><br \/>\n(vi) 2<sup>5<\/sup>\u00a0\u00d7 5<sup>5<\/sup><br \/>\n(vii) a<sup>4<\/sup>\u00a0\u00d7 b<sup>4<br \/>\n<\/sup>(viii) (3<sup>4<\/sup>)<sup>3<\/sup><br \/>\n(ix) (2<sup>20<\/sup>\u00a0\u00f7 2<sup>15<\/sup>) \u00d7 2<sup>3<br \/>\n<\/sup>(x) 8<sup>t<\/sup>\u00a0\u00f7 8<sup>2<\/sup><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) 3<sup>2<\/sup>\u00a0\u00d7 3<sup>4<\/sup>\u00a0\u00d7 3<sup>8<br \/>\n<\/sup><\/strong>By the rule of multiplying the powers with same base = a<sup>m\u00a0<\/sup>\u00d7 a<sup>n<\/sup>\u00a0= a<sup>m + n<br \/>\n<\/sup>Then,<br \/>\n= (3)<sup>2 + 4 + 8<br \/>\n<\/sup>= 3<sup>14<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii) 6<sup>15<\/sup>\u00a0\u00f7 6<sup>10<br \/>\n<\/sup><\/strong>By the rule of dividing the powers with same base = a<sup>m\u00a0<\/sup>\u00f7 a<sup>n<\/sup>\u00a0= a<sup>m \u2013 n<br \/>\n<\/sup>Then,<br \/>\n= (6)<sup>15 \u2013 10<br \/>\n<\/sup>= 6<sup>5<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii) a<sup>3<\/sup>\u00a0\u00d7 a<sup>2<br \/>\n<\/sup><\/strong>By the rule of multiplying the powers with same base = a<sup>m\u00a0<\/sup>\u00d7 a<sup>n<\/sup>\u00a0= a<sup>m + n<br \/>\n<\/sup>Then,<br \/>\n= (a)<sup>3 + 2<br \/>\n<\/sup>= a<sup>5<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iv) 7<sup>x<\/sup>\u00a0\u00d7 7<sup>2<br \/>\n<\/sup><\/strong>By the rule of multiplying the powers with same base = a<sup>m\u00a0<\/sup>\u00d7 a<sup>n<\/sup>\u00a0= a<sup>m + n<br \/>\n<\/sup>Then,<br \/>\n= (7)<sup>x + 2<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(v) (5<sup>2<\/sup>)<sup>3<\/sup>\u00a0\u00f7 5<sup>3<br \/>\n<\/sup><\/strong>By the rule of taking power of as power = (a<sup>m<\/sup>)<sup>n\u00a0<\/sup>= a<sup>mn<br \/>\n<\/sup>(5<sup>2<\/sup>)<sup>3<\/sup>\u00a0can be written as = (5)<sup>2 \u00d7 3<br \/>\n<\/sup>= 5<sup>6<br \/>\n<\/sup>Now, 5<sup>6\u00a0<\/sup>\u00f7 5<sup>3<br \/>\n<\/sup>By the rule of dividing the powers with same base = a<sup>m\u00a0<\/sup>\u00f7 a<sup>n<\/sup>\u00a0= a<sup>m \u2013 n<br \/>\n<\/sup>Then,<br \/>\n= (5)<sup>6 \u2013 3<br \/>\n<\/sup>= 5<sup>3<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(vi) 2<sup>5<\/sup>\u00a0\u00d7 5<sup>5<br \/>\n<\/sup><\/strong>By the rule of multiplying the powers with same exponents = a<sup>m\u00a0<\/sup>\u00d7 b<sup>m<\/sup>\u00a0= ab<sup>m<br \/>\n<\/sup>Then,<br \/>\n= (2 \u00d7 5)<sup>5<br \/>\n<\/sup>= 10<sup>5<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(vii) a<sup>4<\/sup>\u00a0\u00d7 b<sup>4<br \/>\n<\/sup><\/strong>By the rule of multiplying the powers with same exponents = a<sup>m\u00a0<\/sup>\u00d7 b<sup>m<\/sup>\u00a0= ab<sup>m<br \/>\n<\/sup>Then,<br \/>\n= (a \u00d7 b)<sup>4<br \/>\n<\/sup>= ab<sup>4<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(viii) (3<sup>4<\/sup>)<sup>3<br \/>\n<\/sup><\/strong>By the rule of taking power of as power = (a<sup>m<\/sup>)<sup>n\u00a0<\/sup>= a<sup>mn<br \/>\n<\/sup>(3<sup>4<\/sup>)<sup>3<\/sup>\u00a0can be written as = (3)<sup>4 \u00d7 3<br \/>\n<\/sup>= 3<sup>12<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ix) (2<sup>20<\/sup>\u00a0\u00f7 2<sup>15<\/sup>) \u00d7 2<sup>3<br \/>\n<\/sup><\/strong>By the rule of dividing the powers with same base = a<sup>m\u00a0<\/sup>\u00f7 a<sup>n<\/sup>\u00a0= a<sup>m \u2013 n<br \/>\n<\/sup>(2<sup>20<\/sup>\u00a0\u00f7 2<sup>15<\/sup>) can be simplified as,<br \/>\n= (2)<sup>20 \u2013 15<br \/>\n<\/sup>= 2<sup>5<br \/>\n<\/sup>Then,<br \/>\nBy the rule of multiplying the powers with same base = a<sup>m\u00a0<\/sup>\u00d7 a<sup>n<\/sup>\u00a0= a<sup>m + n<br \/>\n<\/sup>2<sup>5<\/sup>\u00a0\u00d7 2<sup>3<\/sup> can be simplified as,<br \/>\n= (2)<sup>5 + 3<br \/>\n<\/sup>= 2<sup>8<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(x) 8<sup>t<\/sup>\u00a0\u00f7 8<sup>2<br \/>\n<\/sup><\/strong>By the rule of dividing the powers with same base = a<sup>m\u00a0<\/sup>\u00f7 a<sup>n<\/sup>\u00a0= a<sup>m \u2013 n<br \/>\n<\/sup>Then,<br \/>\n= (8)<sup>t \u2013 2<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>2. Simplify and express each of the following in exponential form:<br \/>\n<\/strong><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2^3&amp;space;\\times&amp;space;3^4\\times&amp;space;4}{3\\times&amp;space;32}}\" alt=\"\\mathbf{\\frac{2^3 \\times 3^4\\times 4}{3\\times 32}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii) ((5<sup>2<\/sup>)<sup>3<\/sup>\u00a0\u00d7 5<sup>4<\/sup>) \u00f7 5<sup>7<\/sup><\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii) 25<sup>4<\/sup>\u00a0\u00f7 5<sup>3<\/sup><\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iv) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3\\times&amp;space;7^2\\times&amp;space;11^8}{21\\times&amp;space;11^3}}\" alt=\"\\mathbf{\\frac{3\\times 7^2\\times 11^8}{21\\times 11^3}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(v) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3^7}{3^4\\times&amp;space;3^3}}\" alt=\"\\mathbf{\\frac{3^7}{3^4\\times 3^3}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(vi) 2<sup>0<\/sup>\u00a0+ 3<sup>0<\/sup>\u00a0+ 4<sup>0<\/sup><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(vii) 2<sup>0\u00a0<\/sup>\u00d7 3<sup>0<\/sup>\u00a0\u00d7 4<sup>0<\/sup><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(viii) (3<sup>0<\/sup>\u00a0+ 2<sup>0<\/sup>) \u00d7 5<sup>0<\/sup><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ix) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2^8\\times&amp;space;a^5}{4^3\\times&amp;space;a^3}}\" alt=\"\\mathbf{\\frac{2^8\\times a^5}{4^3\\times a^3}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(x) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{a^5}{a^3}&amp;space;\\times&amp;space;a^8}\" alt=\"\\mathbf{\\frac{a^5}{a^3} \\times a^8}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(xi) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{4^5\\times&amp;space;a^8b^3}{4^5\\times&amp;space;a^5b^2}}\" alt=\"\\mathbf{\\frac{4^5\\times a^8b^3}{4^5\\times a^5b^2}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(xii) (2<sup>3<\/sup>\u00a0\u00d7 2)<sup>2<br \/>\n<\/sup><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2^3&amp;space;\\times&amp;space;3^4\\times&amp;space;4}{3\\times&amp;space;32}}\" alt=\"\\mathbf{\\frac{2^3 \\times 3^4\\times 4}{3\\times 32}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>Factors of 32 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2<br \/>\n= 2<sup>5<br \/>\n<\/sup>Factors of 4 = 2 \u00d7 2<br \/>\n= 2<sup>2<br \/>\n<\/sup>Then,<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2^3\\times3^4\\times&amp;space;2^2&amp;space;}{3\\times&amp;space;2^5}\" alt=\"\\frac{2^3\\times3^4\\times 2^2 }{3\\times 2^5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2^{3+2}\\times3^4}{3\\times&amp;space;2^5}\" alt=\"\\frac{2^{3+2}\\times3^4}{3\\times 2^5}\" align=\"absmiddle\" \/>\u00a0 \u00a0 [\u2235 a<sup>m\u00a0<\/sup>\u00d7 a<sup>n<\/sup>\u00a0= a<sup>m + n<\/sup>]<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 2<sup>5 \u2013 5<\/sup>\u00a0\u00d7 3<sup>4 \u2013 1<\/sup> [\u2235a<sup>m\u00a0<\/sup>\u00f7 a<sup>n<\/sup>\u00a0= a<sup>m \u2013 n<\/sup>]<br \/>\n= 2<sup>0<\/sup>\u00a0\u00d7 3<sup>3<br \/>\n<\/sup>= 1 \u00d7 3<sup>3<br \/>\n<\/sup>= 3<sup>3<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii) ((5<sup>2<\/sup>)<sup>3<\/sup>\u00a0\u00d7 5<sup>4<\/sup>) \u00f7 5<sup>7<br \/>\n<\/sup><\/strong>(5<sup>2<\/sup>)<sup>3<\/sup>\u00a0can be written as = (5)<sup>2 \u00d7 3<\/sup>\u00a0 [\u2235(a<sup>m<\/sup>)<sup>n\u00a0<\/sup>= a<sup>mn<\/sup>]<br \/>\n= 5<sup>6<br \/>\n<\/sup>Then,<br \/>\n= (5<sup>6\u00a0<\/sup>\u00d7 5<sup>4<\/sup>) \u00f7 5<sup>7<br \/>\n<\/sup>= (5<sup>6 + 4<\/sup>) \u00f7 5<sup>7<\/sup> [\u2235a<sup>m\u00a0<\/sup>\u00d7 a<sup>n<\/sup>\u00a0= a<sup>m + n<\/sup>]<br \/>\n= 5<sup>10<\/sup>\u00a0\u00f7 5<sup>7<br \/>\n<\/sup>= 5<sup>10 \u2013 7<\/sup> [\u2235a<sup>m\u00a0<\/sup>\u00f7 a<sup>n<\/sup>\u00a0= a<sup>m \u2013 n<\/sup>]<br \/>\n= 5<sup>3<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii) 25<sup>4<\/sup>\u00a0\u00f7 5<sup>3<br \/>\n<\/sup><\/strong>(25)<sup>4<\/sup>\u00a0can be written as = (5 \u00d7 5)<sup>4<br \/>\n<\/sup>= (5<sup>2<\/sup>)<sup>4<br \/>\n<\/sup>(5<sup>2<\/sup>)<sup>4<\/sup>\u00a0can be written as = (5)<sup>2 \u00d7 4<\/sup>\u00a0 [\u2235(a<sup>m<\/sup>)<sup>n\u00a0<\/sup>= a<sup>mn<\/sup>]<br \/>\n= 5<sup>8<br \/>\n<\/sup>Then,<br \/>\n= 5<sup>8<\/sup>\u00a0\u00f7 5<sup>3<br \/>\n<\/sup>= 5<sup>8 \u2013 3<\/sup> [\u2235a<sup>m\u00a0<\/sup>\u00f7 a<sup>n<\/sup>\u00a0= a<sup>m \u2013 n<\/sup>]<br \/>\n= 5<sup>5<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iv) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3\\times&amp;space;7^2\\times&amp;space;11^8}{21\\times&amp;space;11^3}}\" alt=\"\\mathbf{\\frac{3\\times 7^2\\times 11^8}{21\\times 11^3}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Factors of 21 = 7 \u00d7 3<br \/>\nThen,<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3\\times&amp;space;7^2\\times&amp;space;11^8}{7\\times3&amp;space;\\times&amp;space;11^3}\" alt=\"\\frac{3\\times 7^2\\times 11^8}{7\\times3 \\times 11^3}\" align=\"absmiddle\" \/> <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 3<sup>1-1<\/sup>\u00a0\u00d7 7<sup>2-1<\/sup>\u00a0\u00d7 11<sup>8 \u2013 3<br \/>\n<\/sup>= 3<sup>0<\/sup>\u00a0\u00d7 7 \u00d7 11<sup>5<br \/>\n<\/sup>= 1 \u00d7 7 \u00d7 11<sup>5<br \/>\n<\/sup>= 7 \u00d7 11<sup>5<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(v) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3^7}{3^4\\times&amp;space;3^3}}\" alt=\"\\mathbf{\\frac{3^7}{3^4\\times 3^3}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3^7}{3^{4+3}}\" alt=\"\\frac{3^7}{3^{4+3}}\" align=\"absmiddle\" \/> [\u2235a<sup>m\u00a0<\/sup>\u00d7 a<sup>n<\/sup>\u00a0= a<sup>m + n<\/sup>]<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3^7}{3^7}\" alt=\"\\frac{3^7}{3^7}\" align=\"absmiddle\" \/><br \/>\n= 3<sup>7 \u2013 7<\/sup> [\u2235a<sup>m\u00a0<\/sup>\u00f7 a<sup>n<\/sup>\u00a0= a<sup>m \u2013 n<\/sup>]<br \/>\n= 3<sup>0<br \/>\n<\/sup>= 1<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(vi) 2<sup>0<\/sup>\u00a0+ 3<sup>0<\/sup>\u00a0+ 4<sup>0<br \/>\n<\/sup><\/strong>= 1 + 1 + 1<br \/>\n= 3<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(vii) 2<sup>0\u00a0<\/sup>\u00d7 3<sup>0<\/sup>\u00a0\u00d7 4<sup>0<br \/>\n<\/sup><\/strong>= 1 \u00d7 1 \u00d7 1<br \/>\n= 1<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(viii) (3<sup>0<\/sup>\u00a0+ 2<sup>0<\/sup>) \u00d7 5<sup>0<br \/>\n<\/sup><\/strong>= (1 + 1) \u00d7 1<br \/>\n= (2) \u00d7 1<br \/>\n= 2<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ix) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2^8\\times&amp;space;a^5}{4^3\\times&amp;space;a^3}}\" alt=\"\\mathbf{\\frac{2^8\\times a^5}{4^3\\times a^3}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>(4)<sup>3<\/sup>\u00a0can be written as = (2 \u00d7 2)<sup>3<br \/>\n<\/sup>= (2<sup>2<\/sup>)<sup>3<br \/>\n<\/sup>(2<sup>2<\/sup>)<sup>3<\/sup>\u00a0can be written as = (2)<sup>2 \u00d7 3 <\/sup>\u00a0 [\u2235(a<sup>m<\/sup>)<sup>n\u00a0<\/sup>= a<sup>mn<\/sup>]<br \/>\n= 2<sup>6<br \/>\n<\/sup>Then,<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2^8\\times&amp;space;a^5}{2^6\\times&amp;space;a^3}\" alt=\"\\frac{2^8\\times a^5}{2^6\\times a^3}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 2<sup>8 \u2013 6<\/sup>\u00a0\u00d7 a<sup>5 \u2013 3<\/sup>\u00a0 [\u2235a<sup>m\u00a0<\/sup>\u00f7 a<sup>n<\/sup>\u00a0= a<sup>m \u2013 n<\/sup>]<br \/>\n= 2<sup>2\u00a0<\/sup>\u00d7 a<sup>2<br \/>\n<\/sup>= 2a<sup>2<\/sup> [\u2235(a<sup>m<\/sup>)<sup>n\u00a0<\/sup>= a<sup>mn<\/sup>]<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(x) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{a^5}{a^3}&amp;space;\\times&amp;space;a^8}\" alt=\"\\mathbf{\\frac{a^5}{a^3} \\times a^8}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= (a<sup>5 &#8211; 3<\/sup>) \u00d7 a<sup>8<\/sup>\u00a0 [\u2235a<sup>m\u00a0<\/sup>\u00f7 a<sup>n<\/sup>\u00a0= a<sup>m \u2013 n<\/sup>]<br \/>\n= a<sup>2<\/sup>\u00a0\u00d7 a<sup>8<br \/>\n<\/sup>= a<sup>2 + 8<\/sup>\u00a0 [\u2235a<sup>m\u00a0<\/sup>\u00d7 a<sup>n<\/sup>\u00a0= a<sup>m + n<\/sup>]<br \/>\n= a<sup>10<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(xi) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{4^5\\times&amp;space;a^8b^3}{4^5\\times&amp;space;a^5b^2}}\" alt=\"\\mathbf{\\frac{4^5\\times a^8b^3}{4^5\\times a^5b^2}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 4<sup>5 \u2013 5<\/sup>\u00a0\u00d7 (a<sup>8 \u2013 5<\/sup>\u00a0\u00d7 b<sup>3 \u2013 2<\/sup>)\u00a0 [\u2235a<sup>m\u00a0<\/sup>\u00f7 a<sup>n<\/sup>\u00a0= a<sup>m \u2013 n<\/sup>]<br \/>\n= 4<sup>0<\/sup>\u00a0\u00d7 (a<sup>3<\/sup>b)<br \/>\n= 1 \u00d7 a<sup>3<\/sup>b<br \/>\n= a<sup>3<\/sup>b<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(xii) (2<sup>3<\/sup>\u00a0\u00d7 2)<sup>2<br \/>\n<\/sup><\/strong>= (2<sup>3 + 1<\/sup>)<sup>2<\/sup>\u00a0 [\u2235a<sup>m\u00a0<\/sup>\u00d7 a<sup>n<\/sup>\u00a0= a<sup>m + n<\/sup>]<br \/>\n= (2<sup>4<\/sup>)<sup>2<br \/>\n<\/sup>(2<sup>4<\/sup>)<sup>2<\/sup>\u00a0can be written as = (2)<sup>4 \u00d7 2<\/sup>\u00a0 [\u2235(a<sup>m<\/sup>)<sup>n\u00a0<\/sup>= a<sup>mn<\/sup>]<br \/>\n= 2<sup>8<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3. Say true or false and justify your answer:<br \/>\n<\/strong><strong>(i) 10 \u00d7 10<sup>11<\/sup>\u00a0= 100<sup>11<br \/>\n<\/sup><\/strong><strong>(ii) 2<sup>3<\/sup>\u00a0&gt; 5<sup>2<\/sup><br \/>\n(iii) 2<sup>3<\/sup>\u00a0\u00d7 3<sup>2<\/sup>\u00a0= 6<sup>5<\/sup><br \/>\n(iv) 3<sup>20<\/sup>\u00a0= (1000)<sup>0<\/sup><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) 10 \u00d7 10<sup>11<\/sup>\u00a0= 100<sup>11<br \/>\n<\/sup><\/strong>LHS = 10 \u00d7 10<sup>11<\/sup><br \/>\n= 10<sup>1+11<\/sup><br \/>\n= 10<sup>12<\/sup><br \/>\nRHS = 100<sup>11<\/sup><br \/>\n= (10<sup>2<\/sup>)<sup>11<\/sup><br \/>\n= 10<sup>22<\/sup><br \/>\n10<sup>12<\/sup>\u00a0\u2260 10<sup>22<\/sup><br \/>\nLHS \u2260 RHS<br \/>\nHence, the given statement is false.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii) 2<sup>3<\/sup>\u00a0&gt; 5<sup>2<br \/>\n<\/sup><\/strong>LHS = 2<sup>3<\/sup> = 8<br \/>\nRHS = 5<sup>2<\/sup>2 = 25<br \/>\n8 &lt; 25<br \/>\n\u2234 2<sup>3<\/sup>\u00a0&lt; 5<sup>2<br \/>\n<\/sup>LHS &lt; RHS<br \/>\n2<sup>3<\/sup>\u00a0&lt; 5<sup>2<br \/>\n<\/sup>Hence, the given statement is false.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii) 2<sup>3<\/sup>\u00a0\u00d7 3<sup>2<\/sup>\u00a0= 6<sup>5<br \/>\n<\/sup><\/strong>LHS = 2<sup>3 <\/sup>\u00d7 3<sup>2<\/sup><br \/>\n= 8 \u00d7 9<br \/>\n= 72<br \/>\nRHS = 6<sup>5<\/sup><br \/>\n= 6 \u00d7 6 \u00d7 6 \u00d7 6 \u00d7 6<br \/>\n= 7776<br \/>\n\u2234 72 \u2260 7776<br \/>\nLHS \u2260 RHS<br \/>\nHence, the given statement is false.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iv) 3<sup>0<\/sup>\u00a0= (1000)<sup>0<br \/>\n<\/sup><\/strong>\u21d2 1 = 1 True [\u2235 a<sup>0<\/sup>\u00a0= 1]<br \/>\nLHS = RHS<br \/>\n3<sup>0<\/sup>\u00a0= 1000<sup>0<br \/>\n<\/sup>Hence, the given statement is true.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4. Express each of the following as a product of prime factors only in exponential form:<br \/>\n<\/strong><strong>(i) 108 \u00d7 192<br \/>\n(ii) 270<br \/>\n(iii) 729 \u00d7 64<br \/>\n(iv) 768<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) 108 \u00d7 192<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2178\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-13.2-Que2i.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"203\" height=\"213\" \/><br \/>\n<\/strong>The factors of 108 = 2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 3<br \/>\n= 2<sup>2<\/sup>\u00a0\u00d7 3<sup>3<br \/>\n<\/sup>The factors of 192 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 3<br \/>\n= 2<sup>6<\/sup>\u00a0\u00d7 3<br \/>\n= (2<sup>2<\/sup>\u00a0\u00d7 3<sup>3<\/sup>) \u00d7 (2<sup>6<\/sup> \u00d7 3)<br \/>\n= 2<sup>2 + 6<\/sup>\u00a0\u00d7 3<sup>3 + 1<\/sup>\u00a0 [\u2235a<sup>m\u00a0<\/sup>\u00d7 a<sup>n<\/sup>\u00a0= a<sup>m + n<\/sup>]<br \/>\n= 2<sup>8\u00a0<\/sup>\u00d7 3<sup>4<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii) 270<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2179\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-13.2-Que2ii.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"89\" height=\"161\" \/><br \/>\n<\/strong>The factors of 270 = 2 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 5<br \/>\n= 2 \u00d7 3<sup>3<\/sup>\u00a0\u00d7 5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii) 729 \u00d7 64<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2180\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-13.2-Que2iii.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"184\" height=\"187\" \/><br \/>\n<\/strong>The factors of 729 = 3 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 3<br \/>\n= 3<sup>6<br \/>\n<\/sup>The factors of 64 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2<br \/>\n= 2<sup>6<br \/>\n<\/sup>Then,<br \/>\n= (3<sup>6<\/sup>\u00a0\u00d7 2<sup>6<\/sup>)<br \/>\n= 3<sup>6<\/sup>\u00a0\u00d7 2<sup>6<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iv) 768<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2181\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-13.2-Que2iv.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"96\" height=\"223\" \/><br \/>\n<\/strong>The factors of 768 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 3<br \/>\n= 2<sup>8<\/sup>\u00a0\u00d7 3<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>5. Simplify:<br \/>\n<\/strong><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{(2^5)^2&amp;space;\\times&amp;space;7^3}{8^3\\times&amp;space;7}}\" alt=\"\\mathbf{\\frac{(2^5)^2 \\times 7^3}{8^3\\times 7}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{25\\times&amp;space;5^2&amp;space;\\times&amp;space;t^8}{10^3\\times&amp;space;t^4}}\" alt=\"\\mathbf{\\frac{25\\times 5^2 \\times t^8}{10^3\\times t^4}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3^5\\times&amp;space;10^5\\times&amp;space;25}{5^7\\times&amp;space;6^5}}\" alt=\"\\mathbf{\\frac{3^5\\times 10^5\\times 25}{5^7\\times 6^5}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{(2^5)^2&amp;space;\\times&amp;space;7^3}{8^3\\times&amp;space;7}}\" alt=\"\\mathbf{\\frac{(2^5)^2 \\times 7^3}{8^3\\times 7}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">8<sup>3<\/sup>\u00a0can be written as = (2 \u00d7 2 \u00d7 2)<sup>3<br \/>\n<\/sup>= (2<sup>3<\/sup>)<sup>3<br \/>\n<\/sup>We have,<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(2^5)^2\\times&amp;space;7^3}{(2^3)^3\\times&amp;space;7}\" alt=\"\\frac{(2^5)^2\\times 7^3}{(2^3)^3\\times 7}\" align=\"absmiddle\" \/> <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(2^{5\\times2}\\times&amp;space;7^3}{2^{3\\times3}\\times&amp;space;7}\" alt=\"\\frac{(2^{5\\times2}\\times 7^3}{2^{3\\times3}\\times 7}\" align=\"absmiddle\" \/>\u00a0 [\u2235(a<sup>m<\/sup>)<sup>n\u00a0<\/sup>= a<sup>mn<\/sup>]<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= (2<sup>10 \u2013 9<\/sup>\u00a0\u00d7 7<sup>3 \u2013 1<\/sup>) [\u2235a<sup>m\u00a0<\/sup>\u00f7 a<sup>n<\/sup>\u00a0= a<sup>m \u2013 n<\/sup>]<br \/>\n= 2 \u00d7 7<sup>2<br \/>\n<\/sup>= 2 \u00d7 7 \u00d7 7<br \/>\n= 98<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{25\\times&amp;space;5^2&amp;space;\\times&amp;space;t^8}{10^3\\times&amp;space;t^4}}\" alt=\"\\mathbf{\\frac{25\\times 5^2 \\times t^8}{10^3\\times t^4}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">25 can be written as = 5 \u00d7 5<br \/>\n= 5<sup>2<br \/>\n<\/sup>10<sup>3<\/sup>\u00a0can be written as = 10<sup>3<br \/>\n<\/sup>= (5 \u00d7 2)<sup>3<br \/>\n<\/sup>= 5<sup>3<\/sup>\u00a0\u00d7 2<sup>3<br \/>\n<\/sup>We have,<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5^2&amp;space;\\times&amp;space;5^2&amp;space;\\times&amp;space;t^8}{5^3\\times&amp;space;2^3&amp;space;\\times&amp;space;t^4}\" alt=\"\\frac{5^2 \\times 5^2 \\times t^8}{5^3\\times 2^3 \\times t^4}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5^{2+2}&amp;space;\\times&amp;space;t^8}{5^3\\times&amp;space;2^3&amp;space;\\times&amp;space;t^4}\" alt=\"\\frac{5^{2+2} \\times t^8}{5^3\\times 2^3 \\times t^4}\" align=\"absmiddle\" \/> [\u2235a<sup>m\u00a0<\/sup>\u00d7 a<sup>n<\/sup>\u00a0= a<sup>m + n<\/sup>]<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5^{4-3}&amp;space;\\times&amp;space;t^{8-4}}{2^3}\" alt=\"\\frac{5^{4-3} \\times t^{8-4}}{2^3}\" align=\"absmiddle\" \/> [\u2235a<sup>m\u00a0<\/sup>\u00f7 a<sup>n<\/sup>\u00a0= a<sup>m \u2013 n<\/sup>]<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5&amp;space;\\times&amp;space;t^{4}}{8}\" alt=\"\\frac{5 \\times t^{4}}{8}\" align=\"absmiddle\" \/> <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5t^4}{8}\" alt=\"\\frac{5t^4}{8}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3^5\\times&amp;space;10^5\\times&amp;space;25}{5^7\\times&amp;space;6^5}}\" alt=\"\\mathbf{\\frac{3^5\\times 10^5\\times 25}{5^7\\times 6^5}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">10<sup>5\u00a0<\/sup>can be written as = (5 \u00d7 2)<sup>5<br \/>\n<\/sup>= 5<sup>5<\/sup>\u00a0\u00d7 2<sup>5<br \/>\n<\/sup>25 can be written as = 5 \u00d7 5<br \/>\n= 5<sup>2<br \/>\n<\/sup>6<sup>5<\/sup>\u00a0can be written as = (2 \u00d7 3)<sup>5<br \/>\n<\/sup>= 2<sup>5<\/sup>\u00a0\u00d7 3<sup>5<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3^5\\times&amp;space;5^5\\times&amp;space;2^5&amp;space;\\times&amp;space;5^2}{5^7\\times&amp;space;2^5&amp;space;\\times&amp;space;3^5}\" alt=\"\\frac{3^5\\times 5^5\\times 2^5 \\times 5^2}{5^7\\times 2^5 \\times 3^5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3^5\\times&amp;space;5^{5+2}\\times&amp;space;2^5}{5^7\\times&amp;space;2^5&amp;space;\\times&amp;space;3^5}\" alt=\"\\frac{3^5\\times 5^{5+2}\\times 2^5}{5^7\\times 2^5 \\times 3^5}\" align=\"absmiddle\" \/> [\u2235a<sup>m\u00a0<\/sup>\u00d7 a<sup>n<\/sup>\u00a0= a<sup>m + n<\/sup>]<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= (3<sup>5 \u2013 5<\/sup>\u00a0\u00d7 5<sup>7 \u2013 7\u00a0<\/sup>\u00d7 2<sup>5 \u2013 5<\/sup>)<br \/>\n= (3<sup>0<\/sup>\u00a0\u00d7 5<sup>0<\/sup>\u00a0\u00d7 2<sup>0<\/sup>)\u00a0 [\u2235a<sup>m\u00a0<\/sup>\u00f7 a<sup>n<\/sup>\u00a0= a<sup>m \u2013 n<\/sup>]<br \/>\n= 1 \u00d7 1 \u00d7 1<br \/>\n= 1<\/span><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 7 Mathematics\u00a0 Chapter &#8211; 13 (Exponents and Powers) The NCERT Solutions in English Language for Class 7 Mathematics Chapter &#8211; 13 Exponents and Powers\u00a0 Exercise 13.2 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter : 13 Exponents and Powers NCERT Solution Class 7 Maths [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[219],"tags":[345,346,283,5],"class_list":["post-2160","post","type-post","status-publish","format-standard","hentry","category-class-7-maths","tag-ncert-class-7-maths-chapter-13-exponents-and-powers-in-english","tag-ncert-solutions-class-7-maths-chapter-13-in-english","tag-ncert-solutions-class-7-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 7 Maths Chapter 13 Exponents and Powers Ex 13.2 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"NCERT Solutions Class 7 Mathematics\u00a0Chapter - 13 (Exponents and Powers)The NCERT Solutions in English Language for Class 7 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