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Question
Simplify:
`(16^(-1/5))^(5/2)`
Solution
Given `(16^(-1/5))^(5/2)`
`(16^(-1/5))^(5/2)=16^(-1/5xx5/2)`
`=16^(-1/2)`
By using law of rational exponents `a^-n=1/a^n` we have
`(16^(-1/5))^(5/2)=1/16^(1/2)`
`=1/4^(2xx1/2)`
`=1/4`
Hence the value of `(16^(-1/5))^(5/2)` is `1/4`
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