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32\times 8\sqrt{2}\times \frac{1}{3}\times \frac{1}{2}
Multiply 4 and 8 to get 32.
256\sqrt{2}\times \frac{1}{3}\times \frac{1}{2}
Multiply 32 and 8 to get 256.
\frac{256}{3}\sqrt{2}\times \frac{1}{2}
Multiply 256 and \frac{1}{3} to get \frac{256}{3}.
\frac{256\times 1}{3\times 2}\sqrt{2}
Multiply \frac{256}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{256}{6}\sqrt{2}
Do the multiplications in the fraction \frac{256\times 1}{3\times 2}.
\frac{128}{3}\sqrt{2}
Reduce the fraction \frac{256}{6} to lowest terms by extracting and canceling out 2.