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\left(\frac{4}{8}\right)^{2}\times 2\times \frac{1}{2}
Multiply \frac{4}{8} and \frac{4}{8} to get \left(\frac{4}{8}\right)^{2}.
\left(\frac{1}{2}\right)^{2}\times 2\times \frac{1}{2}
Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.
\frac{1}{4}\times 2\times \frac{1}{2}
Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.
\frac{2}{4}\times \frac{1}{2}
Multiply \frac{1}{4} and 2 to get \frac{2}{4}.
\frac{1}{2}\times \frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
\frac{1\times 1}{2\times 2}
Multiply \frac{1}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{4}
Do the multiplications in the fraction \frac{1\times 1}{2\times 2}.