Chapter 6 - Radical Functions and Rational Exponents - 6-2 Multiplying and Dividing Radical Expressions - Practice and Problem-Solving Exercises - Page 371: 32

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

RECALL: $\sqrt[3]{a} \cdot \sqrt[3]{b} = \sqrt[3]{a\cdot b}.$ Use the rule above to have $6\sqrt[3]{(5y^3)(50y^4)} \\=6\sqrt[3]{250y^7} \\=6\sqrt[3]{125y^6(2y)} \\=6\sqrt[3]{(5y^2)^3(2y)} \\=6(5y^2)\sqrt[3]{2y} \\=30y^2\sqrt[3]{2y}.$