$8$ can be written in the form of $4^{\frac{3}{k}}$. Find the value of $k$.

$32$ can be written in the form of $4^{\frac{5}{k}}$. Find the value of $k$.

Find the value of ${\left(49\right)}^{\frac{1}{2}}$.

Find the value of $(243{)}^{\frac{2}{5}}$.

The value of $9^{\frac{-3}{2}}$ is $\frac{1}{k}$. Find the value of $k$.

Find the value of ${\left(\frac{64}{125}\right)}^{\frac{-2}{3}}$

Using a fractional index, $\sqrt{5}=5^n$. What is the value of $n$?

Using a fractional index,if  $\sqrt[2]{7}$ is written as $7^k$, then find the value of $k$

The fractional index to write $(\sqrt[3]{49}{)}^5$ is ${49}^{\frac{5}{k}}$. Find the value of $k$.