Answer
$x^{9}y^{36}$
Work Step by Step
Using $(ab)^x=a^xb^x$, then the expression, $
(xy^4)^{9}
$, simplifies to
\begin{array}{l}\require{cancel}
x^{9}y^{4(9)}
\\\\=
x^{9}y^{36}
.\end{array}
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