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: 13

$=\frac{\sqrt x}{4x^6}$

$\frac{2\sqrt x .\sqrt x^3}{\sqrt 64x^{15}}$ $=\frac{2x^{\frac{1}{2}}. x^{\frac{3}{2}}}{8x^7.x^{\frac{1}{2}}}$ $=\frac{2x^{\frac{4}{2}}}{8x^{\frac{15}{2}}}$ $=\frac{2}{8x^{\frac{11}{2}}}$ $=\frac{1}{4x^{\frac{11}{2}}}$ $=\frac{1}{4\sqrt x^{11}}$ $=\frac{\sqrt x}{4x^6}$