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Popular >

simplify \sqrt[-3]{x^3}

Solution

simplify

Solution

\frac{1}{x}

Solution steps

Apply radical rule:

= (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}

= \frac{1}{x}

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Frequently Asked Questions (FAQ)

What is \sqrt[-3]{x^3} ?
The solution to \sqrt[-3]{x^3} is 1/x