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Popular >

simplify \sqrt[20]{a^{12}}

Solution

simplify

Solution

a^{\frac{3}{5}}

Solution steps

Apply radical rule:

= (a^{12})^{\frac{1}{20}}

Apply exponent rule:

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

assuming

a \geq 0

= a^{12 \cdot \frac{1}{20}}

12 \cdot \frac{1}{20} = \frac{3}{5}

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

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Frequently Asked Questions (FAQ)

What is \sqrt[20]{a^{12}} ?
The solution to \sqrt[20]{a^{12}} is a^{3/5}