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-4+\left(-2\right)^{5}\times 4^{-3}
Calculate -2 to the power of 2 and get 4.
-4-32\times 4^{-3}
Calculate -2 to the power of 5 and get -32.
-4-32\times \frac{1}{64}
Calculate 4 to the power of -3 and get \frac{1}{64}.
-4-\frac{1}{2}
Multiply -32 and \frac{1}{64} to get -\frac{1}{2}.
-\frac{9}{2}
Subtract \frac{1}{2} from -4 to get -\frac{9}{2}.