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Popular >

simplify \sqrt[16]{v^{13}}

Solution

simplify

Solution

v^{\frac{13}{16}}

Solution steps

Apply radical rule:

= (v^{13})^{\frac{1}{16}}

Apply exponent rule:

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

assuming

a \geq 0

= v^{13 \cdot \frac{1}{16}}

13 \cdot \frac{1}{16} = \frac{13}{16}

= v^{\frac{13}{16}}

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Frequently Asked Questions (FAQ)

What is \sqrt[16]{v^{13}} ?
The solution to \sqrt[16]{v^{13}} is v^{13/16}