#### Answer

1/16

#### Work Step by Step

When a fraction is raised to a power, we distribute that power to both the numerator (the top of the fraction) and the denominator (the bottom of the fraction). Thus, we obtain:
$(1/2)^{4}$= ($1^{4})$/($2^{4}$)
$2^{4}$ means two multiplied by itself four times, and $1^{4}$ means one multiplied by itself four times, so we find:
($1^{4})$/($2^{4}$)=1/16