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4\sqrt{\frac{1}{256}}
Calculate \frac{1}{2} to the power of 8 and get \frac{1}{256}.
4\times \frac{1}{16}
Rewrite the square root of the division \frac{1}{256} as the division of square roots \frac{\sqrt{1}}{\sqrt{256}}. Take the square root of both numerator and denominator.
\frac{4}{16}
Multiply 4 and \frac{1}{16} to get \frac{4}{16}.
\frac{1}{4}
Reduce the fraction \frac{4}{16} to lowest terms by extracting and canceling out 4.