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Popular >

simplify \sqrt[20]{x^8}

Solution

simplify

Solution

x^{\frac{2}{5}}

Solution steps

Apply radical rule:

= (x^{8})^{\frac{1}{20}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{8 \cdot \frac{1}{20}}

8 \cdot \frac{1}{20} = \frac{2}{5}

= x^{\frac{2}{5}}

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Frequently Asked Questions (FAQ)

What is \sqrt[20]{x^8} ?
The solution to \sqrt[20]{x^8} is x^{2/5}