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Popular >

simplify \sqrt[3]{x^p}

Solution

simplify

Solution

x^{\frac{p}{3}}

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

Simplify

p \frac{1}{3} : \frac{p}{3}

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

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Frequently Asked Questions (FAQ)

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