# How do you simplify -(1/2)^4?

May 6, 2018

$- \frac{1}{16}$

#### Explanation:

Note that the negative sign applies to the final answer of ${\left(\frac{1}{2}\right)}^{4}$

$- {\left(\frac{1}{2}\right)}^{4} = - \left(\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2}\right)$

$= - \left(\frac{1}{16}\right)$

$= - \frac{1}{16}$