Express 2^8 × a^5 / 4^3 × a^3 in exponential form & Simplify - Teachoo - Ex 11.2

part 2 - Ex 11.2, 2 (ix) - Ex 11.2 - Serial order wise - Chapter 11 Class 7 Exponents and Powers

 

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Ex 11.2, 2 Simplify and express each of the following in exponential form: (ix) (2^8 ×〖 𝑎〗^5)/(4^3 ×〖 𝑎〗^3 ) (2^8 × 𝑎^5)/(4^3 × 𝑎^3 ) = (2^8 ×〖 𝑎〗^5)/((2 × 2)^3 ×〖 𝑎〗^3 ) = 2^8/(2^2 )3 × 𝑎^5/𝑎^3 Using, (am)n = 𝑎^(𝑚 × 𝑛) = 2^8/2^6 × 𝑎^5/𝑎^3 Using, 𝑎^𝑚/𝑎^𝑛 = 𝑎^(𝑚 − 𝑛) = 28 − 6 × a5 − 3 = 22 × a2 Using, am × bm = (a × b)m + n = (2 × a)2 = (2a)2 = (2 × a)2 = (2a)2

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo