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