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16+4^{-1}-\left(-2\right)^{-2}
Calculate \frac{1}{2} to the power of -4 and get 16.
16+\frac{1}{4}-\left(-2\right)^{-2}
Calculate 4 to the power of -1 and get \frac{1}{4}.
16+\frac{1}{4}-\frac{1}{4}
Calculate -2 to the power of -2 and get \frac{1}{4}.
16+0
Subtract \frac{1}{4} from \frac{1}{4} to get 0.
16
Add 16 and 0 to get 16.