Directions for Questions 41 - 45: What value will come in place of the question mark (?) in the given questions?
$\dfrac{{{?}^{4/5}}}{36}=\dfrac{9}{{{?}^{1/5}}}$
324
342
18
361
4
Solution
$\begin{align}
& \frac{{{?}^{4/5}}}{36}=\frac{9}{{{?}^{1/5}}} \\
& \Rightarrow {{(?)}^{\frac{4}{5}}}\times {{(?)}^{\frac{1}{5}}}=9\times 36 \\
& \Rightarrow {{?}^{\frac{4}{5}+\frac{1}{5}}}=324 \\
& \Rightarrow {{?}^{1}}=324 \\
\end{align}$