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4+\sqrt[5]{-32}-3^{0}
Calculate \frac{1}{2} to the power of -2 and get 4.
4-2-3^{0}
Calculate \sqrt[5]{-32} and get -2.
2-3^{0}
Subtract 2 from 4 to get 2.
2-1
Calculate 3 to the power of 0 and get 1.
1
Subtract 1 from 2 to get 1.