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