9514 1404 393
Answer:
-3x³y∛9
Step-by-step explanation:
The expression can be simplified by removing perfect cubes from under the radical.
[tex]\sqrt[3]{-243x^9y^3}=\sqrt[3]{(-3x^3y)^3\cdot9}=\boxed{-3x^3y\sqrt[3]{9}}[/tex]
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It helps to realize that 243 = 3^5 = (3^3)(3^2).
