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\left(\frac{4}{8^{0}}\right)^{3}
Calculate 2 to the power of 2 and get 4.
\left(\frac{4}{1}\right)^{3}
Calculate 8 to the power of 0 and get 1.
4^{3}
Anything divided by one gives itself.
64
Calculate 4 to the power of 3 and get 64.