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Last updated at Dec. 18, 2018 by Teachoo

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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

About the Author

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.