Question

Find: ${16}^{\frac{3}{4}}$

Answer 1

Compute the required value

$$\begin{gathered} {16}^{\frac{3}{4}}={\left(2\times 2\times 2\times 2\right)}^{\frac{3}{4}} \\ ={\left(2^4\right)}^{\frac{3}{4}} \\ =2^3\left[\because {\left(a^m\right)}^n=a^{m\times n}\right] \\ =8 \end{gathered}$$

Therefore, ${16}^{\frac{3}{4}}=8$.