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4-8^{\frac{-1}{3}}
Calculate 16 to the power of \frac{1}{2} and get 4.
4-8^{-\frac{1}{3}}
Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.
4-\frac{1}{2}
Calculate 8 to the power of -\frac{1}{3} and get \frac{1}{2}.
\frac{7}{2}
Subtract \frac{1}{2} from 4 to get \frac{7}{2}.