Chapter 2 - Real Numbers - Chapter 2 Test - Page 90: 13

$ = 2x^{2}$

First, use the following rule: $\frac{a}{b} \div \frac{c}{d}= \frac{a}{b} \times \frac{d}{c}$. Next, multiply and cancel out common factors to obtain: $= \frac{6xy}{9} \div \frac{y}{3x}$ $= \frac{6xy}{9} \times \frac{3x}{y}$ $= \frac{18x^{2}y}{9y}$ $ = 2x^{2}$