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Question
Simplify and express the following in exponential form:
`[(3/5)^3 xx (3/5)^8] ÷ [(3/5)^2 xx (3/5)^4]`
Solution
We have, `[(3/5)^3 xx (3/5)^8] ÷ [(3/5)^2 xx (3/5)^4]`
= `(3/5)^(3+8) ÷ (3/5)^(2+4)` ......[∵ am × an = am+n]
= `(3/5)^11 ÷ (3/5)^6` = `(3/5)^11/(3/5)^6` = `(3/5)^(11-8)` ......`[∵ a^m/a^n = a^(m-n)]`
= `(3/5)^5`
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