The value of 5^1/4 × ( 125 )^0.25 is = ?

Answer: Option B

$$\begin{array}{rl}& {\text{5}}^{\frac{1}{4}}\times {\left(125\right)}^{0.25}\\ & =5^{0.25}\times {\left(5^3\right)}^{0.25}\\ & =5^{0.25}\times 5^{\left(3\times 0.25\right)}\\ & =5^{0.25}\times 5^{0.75}\\ & =5^{\left(0.25+0.75\right)}\\ & =5^1\\ & =5\end{array}$$