Answer
$\frac{1}{16}$
Work Step by Step
We expand the exponent: $(\frac{1}{2})^4=\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}$
We multiply the numerators and the denominators: $\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{16}$