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9+\left(-2020\right)^{0}-\left(|-2|\right)^{3}
Calculate \frac{1}{3} to the power of -2 and get 9.
9+1-\left(|-2|\right)^{3}
Calculate -2020 to the power of 0 and get 1.
10-\left(|-2|\right)^{3}
Add 9 and 1 to get 10.
10-2^{3}
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -2 is 2.
10-8
Calculate 2 to the power of 3 and get 8.
2
Subtract 8 from 10 to get 2.