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Popular >

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

Solution

simplify

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

Solution

\frac{1}{x}

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0

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

- 3 \cdot \frac{1}{3} = - 1

= x^{- 1}

Apply exponent rule:

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

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

= \frac{1}{x}

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Frequently Asked Questions (FAQ)

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