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Popular >

simplify \sqrt[27]{x^{21}}

Solution

simplify

Solution

x^{\frac{7}{9}}

Solution steps

Apply radical rule:

= (x^{21})^{\frac{1}{27}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{21 \cdot \frac{1}{27}}

21 \cdot \frac{1}{27} = \frac{7}{9}

= x^{\frac{7}{9}}

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Frequently Asked Questions (FAQ)

What is \sqrt[27]{x^{21}} ?
The solution to \sqrt[27]{x^{21}} is x^{7/9}