What is (0.25^4)/((1/4)^2) ?

The solution to (0.25^4)/((1/4)^2) is 0.0625

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simplify (0.25^4)/((1/4)^2)

simplify

\frac{0.2 5 ^{4}}{( \frac{1}{4} ) ^{2}}

0.0625

Solution steps

\frac{0.2 5 ^{4}}{( \frac{1}{4} ) ^{2}}

0.2 5^{4} = 0.00390625

= \frac{0.00390625}{( \frac{1}{4} ) ^{2}}

(\frac{1}{4})^{2} = \frac{1}{16}

= \frac{0.00390625}{\frac{1}{16}}

Apply the fraction rule:

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

= \frac{0.00390625 \cdot 16}{1}

Cancel

\frac{0.00390625 \cdot 16}{1} : 0.0625

= 0.0625

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