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\left(\left(-8\right)^{-1}\right)^{2}
Calculate 2 to the power of 3 and get 8.
\left(-\frac{1}{8}\right)^{2}
Calculate -8 to the power of -1 and get -\frac{1}{8}.
\frac{1}{64}
Calculate -\frac{1}{8} to the power of 2 and get \frac{1}{64}.