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Popular >

simplify \sqrt[6]{y^5}

Solution

simplify

6 y^{5}

Solution

y^{\frac{5}{6}}

Solution steps

6 y^{5}

Apply radical rule:

n a = a^{\frac{1}{n}}

= (y^{5})^{\frac{1}{6}}

Apply exponent rule:

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

assuming

a \geq 0

= y^{5 \cdot \frac{1}{6}}

5 \cdot \frac{1}{6} = \frac{5}{6}

= y^{\frac{5}{6}}

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Frequently Asked Questions (FAQ)

What is \sqrt[6]{y^5} ?
The solution to \sqrt[6]{y^5} is y^{5/6}