Chapter 6 Rational Exponents and Radical Functions - 6.2 Apply Properties of Rational Exponents - 6.2 Exercises - Quiz for Lessons 6.1-6.2 - Page 427: 14

$=-4xy^2\sqrt[5] 2x$

$y^2\sqrt[5] 64x^6-6\sqrt[5] 2x^6y^{10}$ $=y^2\sqrt[5] (32x^5)(2x)-6\sqrt[5] (x^5y^{10})(2x)$ $=y^2\sqrt[5] 32x^5\sqrt[5] 2x-6\sqrt[5] x^5y^{10}\sqrt[5] 2x$ $=2xy^2\sqrt[5] 2x-6xy^2\sqrt[5] 2x$ $=(2-6)xy^2\sqrt[5] 2x$ $=-4xy^2\sqrt[5] 2x$