Problem

Select the equivalent expression.
$\sqrt[3]{\frac{a^{5}}{a^{6}}}$
$a^{\frac{1}{3}}$
$a^{- 3}$
Submit Answer
$a^{- \frac{1}{3}}$
$a^{3}$

Answer

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Answer

$a^{\frac{- 1}{3}}$

Steps

Step 1 ： $\sqrt[3]{\frac{a^{5}}{a^{6}}} = a^{\frac{5}{3} - 2}$

Step 2 ： $a^{\frac{5}{3} - 2} = a^{\frac{5 - 6}{3}}$

Step 3 ： $a^{\frac{- 1}{3}}$

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