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AsheshPatra
AsheshPatra AsheshPatra
  • 27-05-2016
  • Mathematics
Answered

evaluate:

\(32^{- \frac{2}{5} }




\)








Verified Answer :

Petroniusz
Petroniusz Petroniusz
  • 27-05-2016

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

the notebook
\((32)^{- \frac{2}{5} } = ( \sqrt[5]{ \frac{1}{32} } )^{2} = ( \frac{1}{2} )^{2} = \frac{1}{4}\)

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