WeBWorK using host: https://webwork-ptx.aimath.org, format: simple seed: 236

When we raise a power to a power, we multiply the exponents; in symbols

$\begin{gathered} (a^m)^n = a^{mn} \end{gathered}$

$\dfrac{4}{3} = 4\left(\dfrac{1}{3}\right)\text{,}$ and in general $\dfrac{p}{q} = p\left(\dfrac{1}{q}\right)\text{.}$

To compute $(25^{1/2})^3\text{,}$ we first take the square root of 25, then cube the result.

The notation $16^{3/4}$ means to multipy 16 by $\dfrac{3}{4}\text{.}$