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4-\left(-3\right)^{2}-\left(\frac{4}{5}\right)^{0}
Calculate -\frac{1}{2} to the power of -2 and get 4.
4-9-\left(\frac{4}{5}\right)^{0}
Calculate -3 to the power of 2 and get 9.
-5-\left(\frac{4}{5}\right)^{0}
Subtract 9 from 4 to get -5.
-5-1
Calculate \frac{4}{5} to the power of 0 and get 1.
-6
Subtract 1 from -5 to get -6.