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\frac{-16\left(-\frac{1}{2}\right)^{-3}}{\left(-\frac{1}{8}\right)^{-2}}
Calculate 4 to the power of 2 and get 16.
\frac{-16\left(-8\right)}{\left(-\frac{1}{8}\right)^{-2}}
Calculate -\frac{1}{2} to the power of -3 and get -8.
\frac{128}{\left(-\frac{1}{8}\right)^{-2}}
Multiply -16 and -8 to get 128.
\frac{128}{64}
Calculate -\frac{1}{8} to the power of -2 and get 64.
2
Divide 128 by 64 to get 2.