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

Solution

$$64^{\frac{1}{2}}=\left ( 8\times 8 \right )^{\frac{1}{2}}$$

$$=\left ( 8^{2} \right )^\frac{1}{2}$$

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

$$=8^{1}$$

$$=8$$