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Popular >

simplify 4v^{2/3}*v^{-1}

Solution

simplify

4 v^{\frac{2}{3}} \cdot v^{- 1}

Solution

\frac{4}{v ^{\frac{1}{3}}}

Solution steps

4 v^{\frac{2}{3}} v^{- 1}

Apply exponent rule:

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

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

= 4 v^{\frac{2}{3} - 1}

\frac{2}{3} - 1 = - \frac{1}{3}

= 4 v^{- \frac{1}{3}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

= 4 \cdot \frac{1}{v ^{\frac{1}{3}}}

Simplify

4 \cdot \frac{1}{v ^{\frac{1}{3}}} : \frac{4}{v ^{\frac{1}{3}}}

= \frac{4}{v ^{\frac{1}{3}}}

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Frequently Asked Questions (FAQ)

What is 4v^{2/3}*v^{-1} ?
The solution to 4v^{2/3}*v^{-1} is 4/(v^{1/3)}