Problem

Select the equivalent expression.
\[
\sqrt{x^{5} \cdot x^{-6}}
\]
\( x^{\frac{1}{2}} \)
\( x^{2} \)
Submit Answer
\( x^{-2} \)
\( x^{-\frac{1}{2}} \)

Answer

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Answer

\(x^{-\frac{1}{2}}\)

Steps

Step 1 :\(\sqrt{x^{5}\cdot x^{-6}}=\sqrt{x^{5-6}}\)

Step 2 :\(\sqrt{x^{-1}}\)

Step 3 :\(x^{-\frac{1}{2}}\)

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