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1+\sqrt[3]{-\frac{27}{8}}
Calculate -\frac{1}{5} to the power of 0 and get 1.
1-\frac{3}{2}
Calculate \sqrt[3]{-\frac{27}{8}} and get -\frac{3}{2}.
-\frac{1}{2}
Subtract \frac{3}{2} from 1 to get -\frac{1}{2}.