{"id":2144,"date":"2022-11-10T13:21:33","date_gmt":"2022-11-10T13:21:33","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=2144"},"modified":"2022-11-10T13:21:33","modified_gmt":"2022-11-10T13:21:33","slug":"ncert-solutions-class-7-maths-chapter-13-exponents-and-powers-ex-13-1","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-13-exponents-and-powers-ex-13-1\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 13 Exponents and Powers Ex 13.1"},"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 13.1 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-13-2\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 13.2<\/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; 13.1\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. Find the value of:<br \/>\n<\/strong><strong>(i) 2<sup>6<br \/>\n<\/sup><\/strong><strong>(ii) 9<sup>3<\/sup><br \/>\n(iii) 11<sup>2<\/sup><br \/>\n(iv) 5<sup>4<\/sup><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><strong>(i) 2<sup>6<br \/>\n<\/sup><\/strong>= 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2<br \/>\n= 64<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) 9<sup>3<br \/>\n<\/sup><\/strong>= 9 \u00d7 9 \u00d7 9<br \/>\n= 729<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) 11<sup>2<br \/>\n<\/sup><\/strong>= 11 \u00d7 11<br \/>\n= 121<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) 5<sup>4<br \/>\n<\/sup><\/strong>= 5 \u00d7 5 \u00d7 5 \u00d7 5<br \/>\n= 625<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. Express the following in exponential form:<br \/>\n<\/strong><strong>(i) 6 \u00d7 6 \u00d7 6 \u00d7 6<br \/>\n<\/strong><strong>(ii) t \u00d7 t<br \/>\n(iii) b \u00d7 b \u00d7 b \u00d7 b<br \/>\n(iv) 5 \u00d7 5 \u00d7 7 \u00d7 7 \u00d7 7<br \/>\n(v) 2 \u00d7 2 \u00d7 a \u00d7 a<br \/>\n(vi) a \u00d7 a \u00d7 a \u00d7 c \u00d7 c \u00d7 c\u00d7 c \u00d7 d<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><strong>(i) 6 \u00d7 6 \u00d7 6 \u00d7 6<br \/>\n<\/strong>The given question can be expressed in the exponential form as 6<sup>4<\/sup>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) t \u00d7 t<br \/>\n<\/strong>The given question can be expressed in the exponential form as t<sup>2<\/sup>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) b \u00d7 b \u00d7 b \u00d7 b<br \/>\n<\/strong>The given question can be expressed in the exponential form as b<sup>4<\/sup>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) 5 \u00d7 5\u00d7 7 \u00d7 7 \u00d7 7<br \/>\n<\/strong>The given question can be expressed in the exponential form as 5<sup>2<\/sup>\u00a0\u00d7 7<sup>3<\/sup>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(v) 2 \u00d7 2 \u00d7 a \u00d7 a<br \/>\n<\/strong>The given question can be expressed in the exponential form as 2<sup>2<\/sup>\u00a0\u00d7 a<sup>2<\/sup>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vi) a \u00d7 a \u00d7 a \u00d7 c \u00d7 c \u00d7 c \u00d7 c \u00d7 d<br \/>\n<\/strong>The given question can be expressed in the exponential form as a<sup>3<\/sup>\u00a0\u00d7 c<sup>4<\/sup>\u00a0\u00d7 d.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3. Express each of the following numbers using exponential notation:<br \/>\n<\/strong><strong>(i) 512<br \/>\n(ii) 343<br \/>\n(iii) 729<br \/>\n(iv) 3125<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><strong>(i) 512<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2165\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-13.1-Q3.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"273\" height=\"257\" \/><br \/>\n<\/strong>The factors of 512 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2<br \/>\nSo it can be expressed in the exponential form as 2<sup>9<\/sup>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) 343<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2166\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-13.1-Q3ii.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"315\" height=\"118\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-13.1-Q3ii.png 315w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-13.1-Q3ii-300x112.png 300w\" sizes=\"auto, (max-width: 315px) 100vw, 315px\" \/><br \/>\n<\/strong>The factors of 343 = 7 \u00d7 7 \u00d7 7<br \/>\nSo it can be expressed in the exponential form as 7<sup>3<\/sup>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) 729<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2167\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-13.1-Q3iii.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"315\" height=\"194\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-13.1-Q3iii.png 315w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-13.1-Q3iii-300x185.png 300w\" sizes=\"auto, (max-width: 315px) 100vw, 315px\" \/><br \/>\n<\/strong>The factors of 729 = 3 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 3<br \/>\nSo it can be expressed in the exponential form as 3<sup>6<\/sup>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) 3125<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2168\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-13.1-Q3iv.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"315\" height=\"171\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-13.1-Q3iv.png 315w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-13.1-Q3iv-300x163.png 300w\" sizes=\"auto, (max-width: 315px) 100vw, 315px\" \/><br \/>\n<\/strong>The factors of 3125 = 5 \u00d7 5 \u00d7 5 \u00d7 5 \u00d7 5<br \/>\nSo it can be expressed in the exponential form as 5<sup>5<\/sup>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>4. Identify the greater number, wherever possible, in each of the following?<br \/>\n<\/strong><strong>(i) 4<sup>3<\/sup>\u00a0or 3<sup>4<br \/>\n<\/sup><\/strong><strong>(ii) 5<sup>3<\/sup>\u00a0or 3<sup>5<\/sup><br \/>\n(iii) 2<sup>8<\/sup>\u00a0or 8<sup>2<\/sup><br \/>\n(iv) 100<sup>2<\/sup>\u00a0or 2<sup>100<\/sup><br \/>\n(v) 2<sup>10<\/sup>\u00a0or 10<sup>2<\/sup><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) 4<sup>3<\/sup>\u00a0or 3<sup>4 <\/sup><br \/>\n<\/strong>The expansion of 4<sup>3<\/sup> = 4 \u00d7 4 \u00d7 4 = 64<br \/>\nThe expansion of 3<sup>4<\/sup>\u00a0= 3 \u00d7 3 \u00d7 3 \u00d7 3 = 81<br \/>\nClearly, 64 &lt; 81<br \/>\n\u2234 3<sup>4 <\/sup>is greater than 4<sup>3<\/sup>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) 5<sup>3<\/sup>\u00a0or 3<sup>5<br \/>\n<\/sup><\/strong>The expansion of 5<sup>3<\/sup>\u00a0= 5 \u00d7 5 \u00d7 5 = 125<br \/>\nThe expansion of 3<sup>5<\/sup> = 3 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 3= 243<br \/>\nClearly, 125 &lt; 243<br \/>\n\u2234 3<sup>5<\/sup> is greater than 5<sup>3<\/sup>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) 2<sup>8<\/sup>\u00a0or 8<sup>2<br \/>\n<\/sup><\/strong>The expansion of 2<sup>8<\/sup>\u00a0= 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 = 256<br \/>\nThe expansion of 8<sup>2<\/sup> = 8 \u00d7 8= 64<br \/>\nClearly, 256 &gt; 64<br \/>\n\u2234 2<sup>8<\/sup> is greater than 2<sup>8<\/sup>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) 100<sup>2<\/sup>\u00a0or 2<sup>100<br \/>\n<\/sup><\/strong>The expansion of 100<sup>2<\/sup>\u00a0= 100 \u00d7 100 = 10000<br \/>\nThe expansion of 2<sup>100<br \/>\n<\/sup>2<sup>10<\/sup>\u00a0= 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 = 1024<br \/>\nThen,<br \/>\n2<sup>100 <\/sup>= 1024 \u00d7 1024 \u00d71024 \u00d7 1024 \u00d71024 \u00d7 1024 \u00d7 1024 \u00d7 1024 \u00d7 1024 \u00d7 1024 = 1267650600228229401496703205376<br \/>\nClearly,\u00a0100<sup>2<\/sup>\u00a0&lt; 2<sup>100<br \/>\n<\/sup>\u2234 2<sup>100<\/sup> is greater than 100<sup>2<\/sup>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(v) 2<sup>10<\/sup>\u00a0or 10<sup>2<br \/>\n<\/sup><\/strong>The expansion of 2<sup>10<\/sup>\u00a0= 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2 = 1024<br \/>\nThe expansion of 10<sup>2<\/sup>\u00a0= 10 \u00d7 10= 100<br \/>\nClearly, 1024 &gt; 100<br \/>\n\u2234 2<sup>10<\/sup> is greater than 10<sup>2<\/sup>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>5. Express each of the following as product of powers of their prime factors:<br \/>\n<\/strong><strong>(i) 648<br \/>\n(ii) 405<br \/>\n(iii) 540<br \/>\n(iv) 3600<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(i)<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2173\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-13.1-Que5i.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"85\" height=\"209\" \/><br \/>\n<\/strong>Factors of 648 = 2 \u00d7 2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 3<br \/>\n= 2<sup>3\u00a0<\/sup>\u00d7 3<sup>4<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) 405<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2174\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-13.1-Que5ii.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"82\" height=\"135\" \/><br \/>\n<\/strong>Factors of 405 = 3 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 5<br \/>\n= 3<sup>4<\/sup>\u00a0\u00d7 5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) 540<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2175\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-13.1-Que5iii.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"98\" height=\"178\" \/><br \/>\n<\/strong>Factors of 540 = 2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 5<br \/>\n= 2<sup>2\u00a0<\/sup>\u00d7 3<sup>3<\/sup>\u00a0\u00d7 5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) 3,600<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2176\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-13.1-Que5iv.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"106\" height=\"227\" \/><br \/>\n<\/strong>Factors of 3600 = 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 5 \u00d7 5<br \/>\n= 2<sup>4\u00a0<\/sup>\u00d7 3<sup>2<\/sup>\u00a0\u00d7 5<sup>2<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>6. Simplify:<br \/>\n<\/strong><strong>(i) 2 \u00d7 10<sup>3<br \/>\n<\/sup><\/strong><strong>(ii) 7<sup>2<\/sup>\u00a0\u00d7 2<sup>2<\/sup><br \/>\n(iii) 2<sup>3<\/sup>\u00a0\u00d7 5<br \/>\n(iv) 3 \u00d7 4<sup>4<\/sup><br \/>\n(v) 0 \u00d7 10<sup>2<\/sup><br \/>\n(vi) 5<sup>2<\/sup>\u00a0\u00d7 3<sup>3<\/sup><br \/>\n(vii) 2<sup>4<\/sup>\u00a0\u00d7 3<sup>2<\/sup><br \/>\n(viii) 3<sup>2<\/sup>\u00a0\u00d7 10<sup>4<\/sup><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) 2 \u00d7 10<sup>3<br \/>\n<\/sup><\/strong>The above question can be written as,<br \/>\n= 2 \u00d7 10 \u00d7 10 \u00d7 10<br \/>\n= 2 \u00d7 1000<br \/>\n= 2000<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) 7<sup>2<\/sup>\u00a0\u00d7 2<sup>2<br \/>\n<\/sup><\/strong>The above question can be written as,<br \/>\n= 7 \u00d7 7 \u00d7 2 \u00d7 2<br \/>\n= 49 \u00d7 4<br \/>\n= 196<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) 2<sup>3<\/sup>\u00a0\u00d7 5<br \/>\n<\/strong>The above question can be written as,<br \/>\n= 2 \u00d7 2 \u00d7 2 \u00d7 5<br \/>\n= 8 \u00d7 5<br \/>\n= 40<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) 3 \u00d7 4<sup>4<br \/>\n<\/sup><\/strong>The above question can be written as,<br \/>\n= 3 \u00d7 4 \u00d7 4 \u00d7 4 \u00d7 4<br \/>\n= 3 \u00d7 256<br \/>\n= 768<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(v) 0 \u00d7 10<sup>2<br \/>\n<\/sup><\/strong>The above question can be written as,<br \/>\n= 0 \u00d7 10 \u00d7 10<br \/>\n= 0 \u00d7 100<br \/>\n= 0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vi) 5<sup>2<\/sup>\u00a0\u00d7 3<sup>3<br \/>\n<\/sup><\/strong>The above question can be written as,<br \/>\n= 5 \u00d7 5 \u00d7 3 \u00d7 3 \u00d7 3<br \/>\n= 25 \u00d7 27<br \/>\n= 675<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vii) 2<sup>4<\/sup>\u00a0\u00d7 3<sup>2<br \/>\n<\/sup><\/strong>The above question can be written as,<br \/>\n= 2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 3 \u00d7 3<br \/>\n= 16 \u00d7 9<br \/>\n= 144<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(viii) 3<sup>2<\/sup>\u00a0\u00d7 10<sup>4<br \/>\n<\/sup><\/strong>The above question can be written as,<br \/>\n= 3 \u00d7 3 \u00d7 10 \u00d7 10 \u00d7 10 \u00d7 10<br \/>\n= 9 \u00d7 10000<br \/>\n= 90000<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>7. Simplify:<br \/>\n<\/strong><strong>(i) (\u2013 4)<sup>3<br \/>\n<\/sup><\/strong><strong>(ii) (-3) \u00d7 (-2)<sup>3<\/sup><br \/>\n(iii) (-3)<sup>2<\/sup>\u00a0\u00d7 (-5)<sup>2<\/sup><br \/>\n(iv) (-2)<sup>3<\/sup>\u00a0\u00d7 (-10)<sup>3<\/sup><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) (\u2013 4)<sup>3<br \/>\n<\/sup><\/strong>The expansion of -4<sup>3<br \/>\n<\/sup>= \u2013 4 \u00d7 \u2013 4 \u00d7 \u2013 4<br \/>\n= \u2013 64<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) (\u20133) \u00d7 (\u20132)<sup>3<br \/>\n<\/sup><\/strong>The expansion of (-3) \u00d7 (-2)<sup>3<br \/>\n<\/sup>= \u2013 3 \u00d7 \u2013 2 \u00d7 \u2013 2 \u00d7 \u2013 2<br \/>\n= \u2013 3 \u00d7 \u2013 8<br \/>\n= 24<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) (\u20133)<sup>2<\/sup>\u00a0\u00d7 (\u20135)<sup>2<br \/>\n<\/sup><\/strong>The expansion of (-3)<sup>2<\/sup>\u00a0\u00d7 (-5)<sup>2<br \/>\n<\/sup>= \u2013 3 \u00d7 \u2013 3 \u00d7 \u2013 5 \u00d7 \u2013 5<br \/>\n= 9 \u00d7 25<br \/>\n= 225<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) (\u20132)<sup>3<\/sup>\u00a0\u00d7 (\u201310)<sup>3<br \/>\n<\/sup><\/strong>The expansion of (-2)<sup>3<\/sup>\u00a0\u00d7 (-10)<sup>3<br \/>\n<\/sup>= \u2013 2 \u00d7 \u2013 2 \u00d7 \u2013 2 \u00d7 \u2013 10 \u00d7 \u2013 10 \u00d7 \u2013 10<br \/>\n= \u2013 8 \u00d7 \u2013 1000<br \/>\n= 8000<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>8. Compare the following numbers:<br \/>\n<\/strong><strong>(i) 2.7 \u00d7 10<sup>12<\/sup>\u00a0; 1.5 \u00d7 10<sup>8<br \/>\n<\/sup><\/strong><strong>(ii) 4 \u00d7 10<sup>14<\/sup>; 3 \u00d7 10<sup>14<\/sup><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) 2.7 \u00d7 10<sup>12<\/sup>\u00a0; 1.5 \u00d7 10<sup>8<br \/>\n<\/sup><\/strong>Here, 10<sup>12<\/sup>\u00a0&gt; 10<sup>8<br \/>\n<\/sup>\u2234 2.7 \u00d7 10<sup>12<\/sup>&gt; 1.5 \u00d7 10<sup>8<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) 4 \u00d7 10<sup>14<\/sup>\u00a0; 3 \u00d7 10<sup>17<br \/>\n<\/sup><\/strong>Here, 10<sup>17<\/sup>\u00a0&gt; 10<sup>14<br \/>\n<\/sup>\u2234 4 \u00d7 10<sup>14<\/sup>\u00a0&lt; 3 \u00d7 10<sup>17<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\">\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 13.1 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-2144","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) - 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