Simplify: \(\sqrt{x^3 y^{-2}}\)
Solution
\[ \sqrt{x^3 y^{-2}} \]
\[ = (x^3 y^{-2})^{1/2} \]
\[ = x^{3/2} \cdot y^{-1} \]
\[ = \frac{x^{3/2}}{y} \]
Final Answer:
\[ \boxed{\frac{x^{3/2}}{y}} \]
\[ \sqrt{x^3 y^{-2}} \]
\[ = (x^3 y^{-2})^{1/2} \]
\[ = x^{3/2} \cdot y^{-1} \]
\[ = \frac{x^{3/2}}{y} \]
\[ \boxed{\frac{x^{3/2}}{y}} \]