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1-4^{-\frac{1}{2}}-8^{-\frac{2}{3}}
Calculate 3 to the power of 0 and get 1.
1-\frac{1}{2}-8^{-\frac{2}{3}}
Calculate 4 to the power of -\frac{1}{2} and get \frac{1}{2}.
\frac{1}{2}-8^{-\frac{2}{3}}
Subtract \frac{1}{2} from 1 to get \frac{1}{2}.
\frac{1}{2}-\frac{1}{4}
Calculate 8 to the power of -\frac{2}{3} and get \frac{1}{4}.
\frac{1}{4}
Subtract \frac{1}{4} from \frac{1}{2} to get \frac{1}{4}.