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\frac{1}{\left(-2\right)^{3}}\times 8
Rewrite \left(-2\right)^{4} as -2\left(-2\right)^{3}. Cancel out -2 in both numerator and denominator.
\frac{1}{-8}\times 8
Calculate -2 to the power of 3 and get -8.
-\frac{1}{8}\times 8
Fraction \frac{1}{-8} can be rewritten as -\frac{1}{8} by extracting the negative sign.
-1
Cancel out 8 and 8.