Evaluate:

Question

3 years ago

8

Evaluate:

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

Mathematics

1 answer:

shutvik [7] · Answer 1 · 2022-07-16T11:16:34+03:00

shutvik [7]3 years ago

3 0

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

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

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