Question

please solve this question quickly

Answer 1

the answer to this question is (root 2/32).

Answer 2

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Here is your answer.
$( \sqrt[5]{8} ) {}^{ \frac{5}{2} } \times (16) {}^{ \frac{ - 3}{2} } \\ \\ = ((2) {}^{3} ) {}^{\frac{1}{5} \times \frac{5}{2} } \times (( {2}^{4} ) {}^{ \frac{ - 3}{2} } ) \\ \\ = 2 {}^{ \frac{3}{2} } \times {2}^{ {}^{ - 6} } \\ \\ = {2}^{ \frac{3}{2} - 6 } \\ \\ = {2}^{ \frac{3 - 12}{2} } \\ \\ = {2}^{ \frac{ - 9}{2} }$


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