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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