Solved 4 ( 625 )^3 = ?

Answer: Option C

$$\begin{array}{rl}& \text{Given,}\\ & =\text{root}4\text{of}{\left(625\right)}^3\\ & ={\left(625\right)}^{\frac{3}{4}}\\ & ={\left(5\times 5\times 5\times 5\right)}^{\frac{3}{4}}\\ & ={\left(5^4\right)}^{\frac{3}{4}}\\ & =5^3\\ & =125\end{array}$$