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Popular >

simplify \sqrt[15]{x^9}

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

= (x^{9})^{\frac{1}{15}}

Apply exponent rule:

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

assuming

a \geq 0

= x^{9 \cdot \frac{1}{15}}

9 \cdot \frac{1}{15} = \frac{3}{5}

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

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Frequently Asked Questions (FAQ)

What is \sqrt[15]{x^9} ?
The solution to \sqrt[15]{x^9} is x^{3/5}