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Question
Evaluate.
`(5/8)^(-7) xx (8/5)^(-4)`
Solution
`(5/8)^(-7) xx (8/5)^(-4) = 5^(-7)/8^(-7) xx 8^(-4)/5^(-4)` ...`[(a/b)^m = a^m/b^m]`
= `8^7/5^7 xx 5^4/8^4` ....`(a^(-m) = 1/a^m)`
= `(8^(7-4))/5^(7-4)` ....`(a^m ÷ a^n = a^(m-n))`
= `8^3/5^3`
= `512/125`
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