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