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>\nNCERT 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 <\/p>\n <\/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 \n <\/p>\nQuestion 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 <\/p>\n
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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>\nQuestion 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>\nQuestion 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 <\/p>\n
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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 <\/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 \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\t \n\t \n\t \n