# How do you evaluate (16^{\frac{1}{2}})^3?

May 25, 2018

You would multiply the exponents.

#### Explanation:

Because of the power of a power property, you would multiply $\frac{1}{2}$ and 3, giving you $\frac{3}{2}$.
Now, you have ${16}^{\frac{2}{3}}$ or the cube root of ${16}^{2}$. This equals to about 6.3496 if you plug it into a calculator.
Hope this helps!