Answer
$-\frac{5}{16}$
Work Step by Step
We are given the expression $xy+y^{4}$. We can plug in the given values to solve for the given expression.
$xy+y^{4}=(-\frac{3}{4})(\frac{1}{2})+(\frac{1}{2})^{4}=\frac{-3\times1}{4\times2}+(\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2})=-\frac{3}{8}+\frac{1}{16}=-\frac{3\times2}{8\times2}+\frac{1}{16}=-\frac{6}{16}+\frac{1}{16}=\frac{-6+1}{16}=\frac{-5}{16}=-\frac{5}{16}$
