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Popular >

simplify \sqrt[10]{x^6}

Solution

simplify

10 x^{6}

Solution

x^{\frac{3}{5}}

Solution steps

10 x^{6}

Apply radical rule:

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

= (x^{6})^{\frac{1}{10}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{6 \cdot \frac{1}{10}}

6 \cdot \frac{1}{10} = \frac{3}{5}

= x^{\frac{3}{5}}

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Frequently Asked Questions (FAQ)

What is \sqrt[10]{x^6} ?
The solution to \sqrt[10]{x^6} is x^{3/5}