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Popular >

simplify \sqrt[24]{a^{16}}

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

= (a^{16})^{\frac{1}{24}}

Apply exponent rule:

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

assuming

a \geq 0

= a^{16 \cdot \frac{1}{24}}

16 \cdot \frac{1}{24} = \frac{2}{3}

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

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Frequently Asked Questions (FAQ)

What is \sqrt[24]{a^{16}} ?
The solution to \sqrt[24]{a^{16}} is a^{2/3}