Problem

Select the equivalent expression.
$\sqrt[6]{v^{2} \cdot v^{7}}$
$v^{- \frac{3}{2}}$
$v^{- \frac{2}{3}}$
Submit Answer
$v^{\frac{2}{3}}$
$v^{\frac{3}{2}}$

Answer

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Hide Steps

Answer

$v^{\frac{9}{6}} = v^{\frac{3}{2}}$

Steps

Step 1 ： $\sqrt[6]{v^{2} \cdot v^{7}} = \sqrt[6]{v^{2 + 7}}$

Step 2 ： $\sqrt[6]{v^{9}} = v^{\frac{9}{6}}$

Step 3 ： $v^{\frac{9}{6}} = v^{\frac{3}{2}}$

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