Question

$(\sqrt[5]{58}{)}^{\frac{5}{2}}\times (16{)}^{\frac{-3}{2}}$

Answer 1

We have,

${\left(\sqrt[5]{58}\right)}^{\frac{5}{2}}\times {\left(16\right)}^{\frac{-3}{2}}$

$\Rightarrow {\left(8\right)}^{\frac{1}{5}\times \frac{5}{2}}\times {\left(2^4\right)}^{\frac{-3}{2}}$

$\Rightarrow {\left(2^3\right)}^{\frac{1}{2}}\times {\left(2\right)}^{-6}$

$\Rightarrow 2^{\frac{3}{2}-6}$

$\Rightarrow 2^{\frac{-9}{2}}$

Hence, this is the answer.