What is (2^{-21})/((1/2)^{26)} ?

The solution to (2^{-21})/((1/2)^{26)} is 32

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simplify (2^{-21})/((1/2)^{26)}

simplify

\frac{2 ^{- 21}}{( \frac{1}{2} ) ^{26}}

32

Solution steps

\frac{2 ^{- 21}}{( \frac{1}{2} ) ^{26}}

2^{- 21} = \frac{1}{2097152}

= \frac{\frac{1}{2097152}}{( \frac{1}{2} ) ^{26}}

(\frac{1}{2})^{26} = \frac{1}{67108864}

= \frac{\frac{1}{2097152}}{\frac{1}{67108864}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{1 \cdot 67108864}{2097152 \cdot 1}

Cancel

\frac{1 \cdot 67108864}{2097152 \cdot 1} : 32

= 32

\frac{6}{x + 2} - \frac{4}{x - 2}

- (2 x - 1)^{2}

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\frac{y ^{- 4}}{y}