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Question
Simplify and express the following in exponential form:
`[(7/11)^5 ÷ (7/11)^2] xx (7/11)^2`
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Solution
We have, `[(7/11)^5 ÷ (7/11)^2] xx (7/11)^2`
= `[(7/11)^5/(7/11)^2] xx (7/11)^2` = `(7/11)^(5 - 2) xx (7/11)^2` ...`[∵ a^m/a^n = a^(m - n)]`
= `(7/11)^3 xx (7/11)^2` = `(7/11)^(3 + 2)` ...[∴ am × an = am + n]
= `(7/11)^5`
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