Question

simplify this question

Answer 1

Hello Friend


$(( { {16}^{ - \frac{1}{5} }) }^{ \frac{5}{2} } ) \\(( ( { { {2}^{4} )}^{ - \frac{1}{5} }) }^{ \frac{5}{2} } ) \\ {2}^{4 \times \frac{ - 1}{5} \times \frac{5}{2} } \\ = {2}^{ - 2} \\ = \frac{1}{4}$

Hope it helps☺!

Answer 2

Hey friend,
Here is the answer you were looking for:
${( {16}^{ - \frac{1}{5} } )}^{ \frac{5}{2} } \\ \\ using \: the \: identity \\ ({a}^{m}) ^{n} = {a}^{m \times n} \\ = {16}^{ - \frac{1}{5} \times \frac{5}{2} } \\ \\ = {16}^{ - \frac{1}{2} } \\ \\ = {4}^{2 \times \frac{ - 1}{2} } \\ \\ = {4}^{ - 1} \\ \\ = \frac{1}{4}$


Hope this helps!!!

@Mahak24

Thanks...
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