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Popular >

simplify \sqrt[10]{y^9}

Solution

simplify

Solution

y^{\frac{9}{10}}

Solution steps

Apply radical rule:

= (y^{9})^{\frac{1}{10}}

Apply exponent rule:

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

assuming

a \geq 0

= y^{9 \cdot \frac{1}{10}}

9 \cdot \frac{1}{10} = \frac{9}{10}

= y^{\frac{9}{10}}

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Frequently Asked Questions (FAQ)

What is \sqrt[10]{y^9} ?
The solution to \sqrt[10]{y^9} is y^{9/10}