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Popular >

simplify \sqrt[24]{x^{20}}

Solution

simplify

Solution

x^{\frac{5}{6}}

Solution steps

Apply radical rule:

= (x^{20})^{\frac{1}{24}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{20 \cdot \frac{1}{24}}

20 \cdot \frac{1}{24} = \frac{5}{6}

= x^{\frac{5}{6}}

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Frequently Asked Questions (FAQ)

What is \sqrt[24]{x^{20}} ?
The solution to \sqrt[24]{x^{20}} is x^{5/6}