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Popular >

simplify (4/x)^{-3}

Solution

simplify

(\frac{4}{x})^{- 3}

Solution

\frac{x ^{3}}{64}

Solution steps

(\frac{4}{x})^{- 3}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

(\frac{4}{x})^{- 3} = \frac{1}{( \frac{4}{x} ) ^{3}}

= \frac{1}{( \frac{4}{x} ) ^{3}}

Simplify

(\frac{4}{x})^{3} : \frac{64}{x ^{3}}

= \frac{1}{\frac{64}{x ^{3}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{x ^{3}}{64}

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Frequently Asked Questions (FAQ)

What is (4/x)^{-3} ?
The solution to (4/x)^{-3} is (x^3)/(64)