Answer
$\frac{1}{16}$
Work Step by Step
$(-\frac{1}{2})^{4}$=-$\frac{1}{2}$$\times$-$\frac{1}{2}$$\times$ -$\frac{1}{2}$$\times$-$\frac{1}{2}$=The product of 4 negative numbers is a positive number
=$\frac{1\times1\times1\times1}{2\times2\times2\times2}$= $\frac{1}{16}$