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Question
Simplify and express the following in exponential form:
`[(3/7)^4 xx (3/7)^5] ÷ (3/7)^7`
Solution
We have, `[(3/7)^4 xx (3/7)^5] ÷ (3/7)^7`
= `(3/7)^(4+5) ÷ (3/7)^7` .....[∵ am × an = am+n]
= `(3/7)^9 ÷ (3/7)^7`
= `(3/7)^9/(3/7)^7` = `(3/7)^(9-7)` ......`[∵ a^m/a^n = a^(m-n)]`
= `(3/7)^2`
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