Chapter 6 - Radical Functions and Rational Exponents - 6-2 Multiplying and Dividing Radical Expressions - Practice and Problem-Solving Exercises - Page 371: 33

$-2x^2y\sqrt[3]{30x}$

RECALL: $\sqrt[3]{a} \cdot \sqrt[3]{b} = \sqrt[3]{a\cdot b}.$ Use the rule above to have $-2\sqrt[3]{(2x^2y^2)(15x^5y)} \\=-2\sqrt[3]{30x^7y^3} \\=-2\sqrt[3]{x^6y^3(30x)} \\=-2\sqrt[3]{(x^2y)^3(30x)} \\=-2(x^2y)\sqrt[3]{30x} \\=-2x^2y\sqrt[3]{30x}.$