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4+\left(-2\right)^{3}-2020^{0}
Calculate \frac{1}{2} to the power of -2 and get 4.
4-8-2020^{0}
Calculate -2 to the power of 3 and get -8.
-4-2020^{0}
Subtract 8 from 4 to get -4.
-4-1
Calculate 2020 to the power of 0 and get 1.
-5
Subtract 1 from -4 to get -5.