QuestionChange each of the following to a radical, and then evaluate each power without using a calculator. Justify your answer. B). $\left(\frac{9}{16}\right)^{\frac{3}{2}}$

Studdy Solution
Evaluate $\left(\frac{3}{4}\right)^3$:
$$\left(\frac{3}{4}\right)^3 = \frac{3^3}{4^3} = \frac{27}{64}$$
Thus, the value of $\left(\frac{9}{16}\right)^{\frac{3}{2}}$ is:
$$\boxed{\frac{27}{64}}$$