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\frac{2}{5^{-2}}
Calculate 8 to the power of \frac{1}{3} and get 2.
\frac{2}{\frac{1}{25}}
Calculate 5 to the power of -2 and get \frac{1}{25}.
2\times 25
Divide 2 by \frac{1}{25} by multiplying 2 by the reciprocal of \frac{1}{25}.
50
Multiply 2 and 25 to get 50.