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Popular >

simplify \sqrt[16]{a^{15}}

Solution

simplify

Solution

a^{\frac{15}{16}}

Solution steps

Apply radical rule:

= (a^{15})^{\frac{1}{16}}

Apply exponent rule:

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

assuming

a \geq 0

= a^{15 \cdot \frac{1}{16}}

15 \cdot \frac{1}{16} = \frac{15}{16}

= a^{\frac{15}{16}}

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Frequently Asked Questions (FAQ)

What is \sqrt[16]{a^{15}} ?
The solution to \sqrt[16]{a^{15}} is a^{15/16}