Answer
$ y=2$.
Work Step by Step
The given function is
$\Rightarrow y=\frac{1}{4}(4)^x$
Substitute $\frac{3}{2}$ for $x$.
$\Rightarrow y=\frac{1}{4}(4)^{\frac{3}{2}}$
Evaluate the power.
$\Rightarrow y=\frac{1}{4}\cdot 8$
Simplify.
$\Rightarrow y=2$.
