Problem

Select the equivalent expression.
\[
\sqrt[18]{\frac{1}{y^{6} \cdot y^{3}}}
\]
\( y^{\frac{1}{2}} \)
\( y^{-2} \)
\( y^{-\frac{1}{2}} \)
\( y^{2} \)

Answer

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Hide Steps

Answer

\( = y^{-\frac{1}{2}} \)

Steps

Step 1 ：\(\sqrt[18]{\frac{1}{y^{6} \cdot y^{3}}} \)

Step 2 ：\( = \sqrt[18]{y^{-9}} \)

Step 3 ：\( = y^{-\frac{1}{2}} \)

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