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Evaluate: <img src="-f-32-5E-7B--20-5Cfrac-7B2-7D-7B5-7D-20-7D-20-3Cbr-20-2F-3E-3Cbr-20-2F-3E-3Cbr-20-2F-3E-3Cbr-20-2F-3E-3Cbr-20-2F-3E.jpg">
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4 votes
Evaluate:

image

User Mmrobins
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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)

User Mitch Connor
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