{"id":24623,"date":"2021-06-19T14:29:26","date_gmt":"2021-06-19T08:59:26","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=24623"},"modified":"2021-06-19T14:29:26","modified_gmt":"2021-06-19T08:59:26","slug":"ncert-solutions-for-class-9-maths-chapter-1-ex-1-6","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-6\/","title":{"rendered":"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.6"},"content":{"rendered":"

These NCERT Solutions for Class 9 Maths<\/a> Chapter 1 Number Systems Ex 1.6 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Exercise 1.6<\/h2>\n

Question 1.
\nFind
\n(i) \\(64^{\\frac{1}{2}}\\)
\n(ii) \\(32^{\\frac{1}{5}}\\)
\n(iii) \\(125^{\\frac{1}{3}}\\)
\nSolution:
\n\"NCERT
\n\"NCERT<\/p>\n

Question 2.
\nFind
\n(i) \\(9^{\\frac{3}{2}}\\)
\n(ii) \\(32^{\\frac{2}{5}}\\)
\n(iii) \\(16^{\\frac{3}{4}}\\)
\n(iv) \\((125)^{-\\frac{1}{3}}\\)
\nSolution:
\n(i) We have given
\n\\(9^{\\frac{3}{2}}=\\left[(9)^{\\frac{1}{2}}\\right]^{3}\\)
\n= (3)3<\/sup>
\n= 27
\nTherefore, \\((9)^{\\frac{3}{2}}\\) = 27<\/p>\n

\"NCERT<\/p>\n

(ii) We have given,
\n\\(32^{\\frac{2}{5}}=\\left[32^{\\frac{1}{5}}\\right]^{2}\\)
\n= (2)2<\/sup>
\n= 4
\nTherefore, \\((32)^{\\frac{2}{5}}\\) = 4<\/p>\n

(iii) We have given,
\n\\((16)^{\\frac{3}{4}}=\\left[(16)^{\\frac{1}{4}}\\right]^{3}\\)
\n= (2)3<\/sup>
\n= 8
\nTherefore, \\((16)^{3 \/ 4}\\) = 8<\/p>\n

(iv) We have given,
\n\\((125)^{-\\frac{1}{3}}=\\left[(125)^{\\frac{1}{3}}\\right]^{-1}\\)
\n= (5)-1<\/sup>
\n= \\(\\frac{1}{5}\\)
\nTherefore, \\((125)^{-\\frac{1}{3}}=\\frac{1}{5}\\)<\/p>\n

\"NCERT<\/p>\n

Question 3.
\nSimplify
\n(i) \\(2^{\\frac{2}{3}} \\cdot 2^{\\frac{1}{5}}\\)
\n(ii) \\(\\left(\\frac{1}{3^{3}}\\right)^{7}\\)
\n(iii) \\(\\frac{11^{\\frac{1}{2}}}{11^{\\frac{1}{4}}}\\)
\n(iv) \\(7^{\\frac{1}{2}} \\cdot 8^{\\frac{1}{2}}\\)
\nSolution:
\n(i) We have given \\(2^{\\frac{2}{3}} \\cdot 2^{\\frac{1}{5}}\\)
\n\"NCERT
\n\"NCERT<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.6 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Exercise 1.6 Question 1. Find (i) (ii) (iii) Solution: Question 2. Find (i) (ii) (iii) (iv) Solution: (i) We have given …<\/p>\n

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.6<\/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":{"spay_email":""},"categories":[6],"tags":[],"yoast_head":"\nNCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.6 - NCERT Solutions<\/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:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-6\/\" \/>\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 9 Maths Chapter 1 Number Systems Ex 1.6 - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.6 Questions and Answers are prepared by our highly skilled subject experts. 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