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Popular >

simplify (-x^3)^{-3}

Solution

simplify

(- x^{3})^{- 3}

Solution

- \frac{1}{x ^{9}}

Solution steps

(- x^{3})^{- 3}

Apply exponent rule:

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

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

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

Simplify

(- x^{3})^{3} : - x^{9}

= \frac{1}{- x ^{9}}

Apply the fraction rule:

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

= - \frac{1}{x ^{9}}

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Frequently Asked Questions (FAQ)

What is (-x^3)^{-3} ?
The solution to (-x^3)^{-3} is -1/(x^9)