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Popular >

simplify sqrt(v^{19)}

Solution

simplify

v^{19}

Solution

v^{9} v

Solution steps

v^{19}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

v^{18 + 1} = v^{18} v

= v^{18} v

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

v^{18} v = v^{18} v

= v^{18} v

Simplify

v^{18} : v^{9}

= v^{9} v

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Frequently Asked Questions (FAQ)

What is sqrt(v^{19)} ?
The solution to sqrt(v^{19)} is v^9sqrt(v)