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Popular >

simplify \sqrt[6]{x^n}

Solution

simplify

Solution

x^{\frac{n}{6}}

Solution steps

Apply radical rule:

= (x^{n})^{\frac{1}{6}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{n \frac{1}{6}}

Simplify

n \frac{1}{6} : \frac{n}{6}

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

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Frequently Asked Questions (FAQ)

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