Question

Evaluate: 3E%0A" id="TexFormula1" title="32^{- \frac{2}{5} } 
" alt="32^{- \frac{2}{5} } 
" align="absmiddle" class="latex-formula">

Answer 1

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

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