Answer
$a^{4}b$
Work Step by Step
$\sqrt[4] (a^{16}b^{4})=a^{4}b$, because
$(a^{4}b)^{4}=a^{4}b\times a^{4}b\times a^{4}b\times a^{4}b=a^{4+4+4+4}\times b^{1+1+1+1}=a^{16}b^{4}$
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