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Popular >

simplify (x^3)^{-1}

Solution

simplify

(x^{3})^{- 1}

Solution

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

Solution steps

(x^{3})^{- 1}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= x^{3 (- 1)}

3 (- 1) = - 3

= x^{- 3}

Apply exponent rule:

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

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

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

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Frequently Asked Questions (FAQ)

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