Answer
$\frac{33}{8}$
Work Step by Step
$(x-4)^{-\frac{1}{3}}=2$
$(x-4)^{-\frac{1}{3}})^{-3}=2^{-3}$
$x-4=\frac{1}{2^{3}}$
$x-4=\frac{1}{8}$
$x=\frac{33}{8}$
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