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Popular >

simplify \sqrt[3]{v}*sqrt(v)

Solution

simplify

Solution

Solution steps

v = v^{\frac{1}{2}}

= v^{\frac{1}{3}} v^{\frac{1}{2}}

Apply exponent rule:

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

v^{\frac{1}{3}} v^{\frac{1}{2}} = v^{\frac{1}{3} + \frac{1}{2}}

= v^{\frac{1}{3} + \frac{1}{2}}

\frac{1}{3} + \frac{1}{2} = \frac{5}{6}

= v^{\frac{5}{6}}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{v}*sqrt(v) ?
The solution to \sqrt[3]{v}*sqrt(v) is \sqrt[6]{v^5}