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Popular >

simplify \sqrt[17]{v^{16}}

Solution

simplify

Solution

v^{\frac{16}{17}}

Solution steps

Apply radical rule:

= (v^{16})^{\frac{1}{17}}

Apply exponent rule:

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

assuming

a \geq 0

= v^{16 \cdot \frac{1}{17}}

16 \cdot \frac{1}{17} = \frac{16}{17}

= v^{\frac{16}{17}}

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Frequently Asked Questions (FAQ)

What is \sqrt[17]{v^{16}} ?
The solution to \sqrt[17]{v^{16}} is v^{16/17}