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1. The value of $5^{\frac{1}{4}} \times {(125)}^{0.25}$ is = ?

A. $\sqrt{5}$

B. 5

C. $5 \sqrt{5}$

D. 25

Solution:

\begin{aligned} 5^{\frac{1}{4}} \times {(125)}^{0.25} \\ = 5^{0.25} \times {(5^{3})}^{0.25} \\ = 5^{0.25} \times 5^{(3 \times 0.25)} \\ = 5^{0.25} \times 5^{0.75} \\ = 5^{(0.25 + 0.75)} \\ = 5^{1} \\ = 5 \end{aligned}

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