Solved $$\root 4 \of {{{\left( {625} \right)}^3}} = ?$$

A. $$\root 3 \of {1875} $$

B. 25

C. 125

D. None of these

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {\text{Given,}} \cr & = \root 4 \of {{{\left( {625} \right)}^3}} \cr & = {\left( {625} \right)^{\frac{3}{4}}} \cr & = {\left( {5 \times 5 \times 5 \times 5} \right)^{\frac{3}{4}}} \cr & = {\left( {{5^4}} \right)^{\frac{3}{4}}} \cr & = {5^3} \cr & = 125 \cr} $$