Problem

Select the equivalent expression.
\[
\sqrt[9]{\frac{y}{y^{4}}}
\]

Answer

Expert–verified

Hide Steps

Answer

\( \sqrt[9]{y^{-3}} = y^{\frac{-3}{9}} \)

Steps

Step 1 ：\( \sqrt[9]{\frac{y}{y^{4}}} = \sqrt[9]{y^{1-4}} \)

Step 2 ：\( \sqrt[9]{y^{1-4}} = \sqrt[9]{y^{-3}} \)

Step 3 ：\( \sqrt[9]{y^{-3}} = y^{\frac{-3}{9}} \)

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