Question

(5underoot underfoot 38416)^5/2

Answer 1

$\text{\huge{14}}$

$\large\underline{\large\underline{\text{Explanation}}}$

$\boxed{\begin{aligned}\left(\sqrt[5]{\sqrt{38416}}\right)^{\frac{5}{2}}&=\left(38416^{\frac{1}{10}}\right)^{\frac{5}{2}}\ \text{by \sqrt[n]{a}=a^{\frac{1}{n}} }\\\\&=38416^{\frac{1}{10}\times\frac{5}{2}}\ \text{by (a^{r})^{s}=a^{rs} }\\\\&=38416^{\frac{1}{4}}\\\\&=(14^{4})^{\frac{1}{4}}\\\\&=14.\end{aligned}}$

Answer 2

Step-by-step explanation:

We can cut root5 with power 5 and square root of 38416 is 196 and further it's roots is 14.