# Example 11 - Chapter 13 Class 7 Exponents and Powers

Last updated at Dec. 18, 2018 by Teachoo

Last updated at Dec. 18, 2018 by Teachoo

Transcript

Example 11 Simplify and write the answer in the exponential form (i) (3^7/3^2 )ร3^5 (3^7/3^2 )ร3^5 Using, ๐^๐/๐^๐ = ๐^(๐ โ ๐) = (37 โ 2) ร 35 = 35 ร 35 Using am ร an = am ร n = 35 + 5 = 310 Example 11 Simplify and write the answer in the exponential form (ii) 23 ร 22 ร 55 23 ร 22 ร 55 = (23 ร 22) ร 55 Using am ร an = am + n = (23 + 2) ร 55 = 25 ร 55 Using am ร bm = (a ร b)m = (2 ร 5)5 = 105 Example 11 Simplify and write the answer in the exponential form (iii) (62 ร 64) รท 63 (62 ร 64 ) รท 63 = ((6^2 รใ 6ใ^4))/6^3 Using am ร an = am + n = ((6^(2 + 4)))/6^3 = 6^6/6^3 Using ๐^๐/๐^๐ = am โ n = 66 โ 3 = 63 Example 11 Simplify and write the answer in the exponential form (iv) [(22)3 ร 36] ร 56 [(22)3 ร 36] รท 56 Using (am)n = am ร n = [22 ร 3 ร 36] ร 56 = 26 ร 36 ร 56 Using am ร bm = (a ร b)m = (2 ร 3 ร 5)6 = (6 ร 5)6 = 306 Example 11 Simplify and write the answer in the exponential form (v) 82 รท 23 8^2/2^3 = (2 ร 2 ร 2)^2/2^3 = (2^3 )^2/2^3 (As 8 = 2 ร 2 ร 2) Using (am)n = am ร n = 2^(3 ร 2)/2^3 = 2^6/2^3 = 26โ3 = 23

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.