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Ex 13.2, 2 - Chapter 13 Class 7 Exponents and Powers - Part 12

Ex 13.2, 2 - Chapter 13 Class 7 Exponents and Powers - Part 13

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Transcript

Ex 13.2, 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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