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Question

Evaluate:

Answer 1

`32^{- (2)/(5) } = ( (1)/(32)) ^{ (2)/(5) } = ( (1)/(32) )^{ (1)/(5) *2} = [ ( (1)/(32)) ^{ (1)/(5) } ]^(2) = ( \sqrt[5]{ (1)/(32) } ) ^(2) = ( \sqrt[5]{ (1)/(2)* (1)/(2) * (1)/(2) * (1)/(2) * (1)/(2) } )^(2)` =
`( (1)/(2) )^(2) answer`

the notebook

`(32)^{- (2)/(5) } = ( \sqrt[5]{ (1)/(32) } )^(2) = ( (1)/(2) )^(2) = (1)/(4)`