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\left(\frac{4}{8}\right)^{2}
Calculate 4 to the power of 1 and get 4.
\left(\frac{1}{2}\right)^{2}
Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.
\frac{1}{4}
Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.