Answer
$4x^{2}$
Work Step by Step
$\sqrt[4] (256x^{8})=4x^{2}$, because $(4x^{2})^{4}=4x^{2}\times4x^{2}\times4x^{2}\times4x^{2}=(4\times4\times4\times4)\times x^{2+2+2+2}=256x^{8}$
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