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Popular >

simplify \sqrt[12]{a^8}

Solution

simplify

Solution

a^{\frac{2}{3}}

Solution steps

Apply radical rule:

= (a^{8})^{\frac{1}{12}}

Apply exponent rule:

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

assuming

a \geq 0

= a^{8 \cdot \frac{1}{12}}

8 \cdot \frac{1}{12} = \frac{2}{3}

= a^{\frac{2}{3}}

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Frequently Asked Questions (FAQ)

What is \sqrt[12]{a^8} ?
The solution to \sqrt[12]{a^8} is a^{2/3}