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8-\frac{-16}{-\frac{1}{2}}
Calculate 4 to the power of 2 and get 16.
8-\left(-16\left(-2\right)\right)
Divide -16 by -\frac{1}{2} by multiplying -16 by the reciprocal of -\frac{1}{2}.
8-32
Multiply -16 and -2 to get 32.
-24
Subtract 32 from 8 to get -24.