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Popular >

simplify \sqrt[21]{x^{18}}

Solution

simplify

Solution

x^{\frac{6}{7}}

Solution steps

Apply radical rule:

= (x^{18})^{\frac{1}{21}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{18 \cdot \frac{1}{21}}

18 \cdot \frac{1}{21} = \frac{6}{7}

= x^{\frac{6}{7}}

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Frequently Asked Questions (FAQ)

What is \sqrt[21]{x^{18}} ?
The solution to \sqrt[21]{x^{18}} is x^{6/7}