Question

Find: ${64}^{\frac{1}{2}}$.

Answer 1

Evaluate given expression

Given, ${64}^{\frac{1}{2}}$

$$\begin{gathered} {=\left(8\times 8\right)}^{\frac{1}{2}} \\ ={\left(8^2\right)}^{\frac{1}{2}} \\ =8^1 \end{gathered}$$

Hence, ${64}^{\frac{1}{2}}=8^1=8$