Problem

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

Solution

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 :\(a^{\frac{-1}{3}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/7781/

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