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\frac{4}{8^{-\frac{1}{3}}}
Calculate 16 to the power of \frac{1}{2} and get 4.
\frac{4}{\frac{1}{2}}
Calculate 8 to the power of -\frac{1}{3} and get \frac{1}{2}.
4\times 2
Divide 4 by \frac{1}{2} by multiplying 4 by the reciprocal of \frac{1}{2}.
8
Multiply 4 and 2 to get 8.