Answer
$\sqrt[12] {125x^{4}}$
Work Step by Step
$\sqrt[4] 5\sqrt[3] x=5^{1/4}x^{1/3}=5^{3/12}x^{4/12}=(5^{3}x^{4})^{1/12}=\sqrt[12] {125x^{4}}$
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