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Popular >

simplify (-4x)^{-3}

Solution

simplify

(- 4 x)^{- 3}

Solution

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

Solution steps

(- 4 x)^{- 3}

Apply exponent rule:

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

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

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

Simplify

(- 4 x)^{3} : - 64 x^{3}

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

Apply the fraction rule:

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

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

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Frequently Asked Questions (FAQ)

What is (-4x)^{-3} ?
The solution to (-4x)^{-3} is -1/(64x^3)