Simplify (2x^-2y^3)^3

Simplify: \((2x^{-2}y^3)^3\)

Solution

\[ = 2^3 \cdot x^{-6} \cdot y^{9} \]

\[ = \frac{8y^9}{x^6} \]

Final Answer:

\[ \boxed{\frac{8y^9}{x^6}} \]

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