{"id":28284,"date":"2021-07-05T10:13:31","date_gmt":"2021-07-05T04:43:31","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=28284"},"modified":"2022-03-02T10:30:22","modified_gmt":"2022-03-02T05:00:22","slug":"ncert-solutions-for-class-8-maths-chapter-12-ex-12-1","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-12-ex-12-1\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1"},"content":{"rendered":"

These NCERT Solutions for Class 8 Maths<\/a> Chapter 12 Exponents and Powers Ex 12.1 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Exercise 12.1<\/h2>\n

Question 1.
\nEvaluate
\n(i) 3-2<\/sup>
\n(ii) (-4)-2<\/sup>
\n(iii) \\(\\left(\\frac{1}{2}\\right)^{-5}\\)
\nAnswer:
\n(i) 3-2<\/sup> = \\(\\frac{1}{3^{2}}=\\frac{1}{9}\\)
\n(ii) (-4)-2<\/sup> = \\(\\frac{1}{(-4)^{2}}=\\frac{1}{16}\\)
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nSimplify and express the result in power notation with positive exponent.
\n(i) (-4)5 \u00f7 (-4)8<\/sup>
\n(ii) \\(\\left(\\frac{1}{2^{3}}\\right)^{2}\\)
\n(iii) (-3)4<\/sup> \u00d7 \\(\\left(\\frac{5}{3}\\right)^{4}\\)
\n(iv) (3-7<\/sup> \u00f7 310<\/sup>) \u00d7 3-5<\/sup>
\n(v) 2-3<\/sup> \u00d7 (-7)-3
\nAnswer:
\n\"NCERT
\n\"NCERT<\/p>\n

Question 3.
\nFind the value of
\n(i) (3\u00b0 + 4-1<\/sup>) \u00d7 22<\/sup>
\n(ii) (2-1<\/sup> \u00d7 4-1<\/sup>) \u00f7 2-2<\/sup>
\n(iii) \\(\\left(\\frac{1}{2}\\right)^{-2}+\\left(\\frac{1}{3}\\right)^{-2}+\\left(\\frac{1}{4}\\right)^{-4}\\)
\n(iv) (3-1<\/sup> + -1<\/sup> + 5-1<\/sup>)0
\n(v) \\(\\left\\{\\left(\\frac{-2}{3}\\right)^{-2}\\right\\}^{2}\\)
\nAnswer:
\n(i) (3\u00b0 + 4-1<\/sup>) \u00d7 22<\/sup>
\n= (1 + \\(\\frac{1}{4}\\) ) \u00d7 22<\/sup>
\n[(i) a0<\/sup> = 1 (ii) a-m<\/sup> = \\(\\frac{1}{a^{m}}\\) ]
\n= \\(\\left(\\frac{4+1}{4}\\right)\\) \u00d7 4 = \\(\\frac{5}{4}\\) \u00d7 4 = 5<\/p>\n

\"NCERT<\/p>\n

\"NCERT
\n\"NCERT<\/p>\n

Question 4.
\nEvaluate:
\n(i) \\(\\frac{8^{-1} \\times 5^{3}}{2^{-4}}\\)
\n(ii) (5-1<\/sup> \u00d7 2-1<\/sup>) \u00d7 6-1<\/sup>
\nAnswer:
\n\\(\\frac{8^{-1} \\times 5^{3}}{2^{-4}}=\\frac{5^{3} \\times 2^{4}}{8^{1}}=\\frac{(5 \\times 5 \\times 5) \\times 2^{4}}{2^{3}}\\)
\n= 125 \u00d7 24-3<\/sup> = 125 \u00d7 21<\/sup> = 250<\/p>\n

(ii) (5-1<\/sup> \u00d7 2-1<\/sup>) \u00d7 6-1<\/sup> = \\(\\left(\\frac{1}{5} \\times \\frac{1}{2}\\right) \\times \\frac{1}{6}\\)
\n[a-m<\/sup> = \\(\\frac{1}{\\mathrm{a}^{\\mathrm{m}}}\\) ]
\n= \\(\\frac{1}{10} \\times \\frac{1}{6}=\\frac{1}{60}\\)<\/p>\n

Question 5.
\nFind the value of m for which 5m \u00f7 5 3 = 55.
\nAnswer:
\n5m<\/sup> \u00f7 5-3<\/sup> = 55<\/sup>
\n5m<\/sup> \u00f7 \\(\\frac{1}{5^{3}}\\) = 55<\/sup>
\n5m<\/sup> \u00d7 53<\/sup> = 55<\/sup>
\n5m+3<\/sup> = 55<\/sup> (am<\/sup> \u00d7 an<\/sup> = am+n<\/sup>)
\n\u2234 m + 3 = 5 (since the bases are equal, the exponents are equal)
\nm = 5 – 3
\nm = 2
\nThe value of m = 2.<\/p>\n

Question 6.
\nEvaluate
\n(i) \\(\\left\\{\\left(\\frac{1}{3}\\right)^{-1}-\\left(\\frac{1}{4}\\right)^{-1}\\right\\}^{-1}\\)
\n(ii) \\(\\left(\\frac{5}{8}\\right)^{-7} \\times\\left(\\frac{8}{5}\\right)^{-4}\\)
\nAnswer:
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 7.
\nSimplify:
\n(i) \\(\\frac{25 \\times \\mathrm{t}^{-4}}{5^{-3} \\times 10 \\times \\mathrm{t}^{-8}}(\\mathrm{t} \\neq 0)\\)
\n(ii) \\(\\frac{3^{-5} \\times 10^{-5} \\times 125}{5^{-7} \\times 6^{-5}}\\)
\nAnswer:
\n\"NCERT<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Exercise 12.1 Question 1. Evaluate (i) 3-2 (ii) (-4)-2 (iii) Answer: (i) 3-2 = (ii) (-4)-2 = Question 2. …<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[7],"tags":[],"yoast_head":"\nNCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 - MCQ Questions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-12-ex-12-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Ex 12.1 Questions and Answers are prepared by our highly skilled subject experts. 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