1. Выполните деление:

a) $$\frac{2x^2}{y} : \frac{x}{y^2} = \frac{2x^2}{y} \cdot \frac{y^2}{x} = \frac{2x^2 \cdot y^2}{x \cdot y} = 2xy$$.

в) $$\frac{4a}{5b} : \frac{2a^2}{15b^2} = \frac{4a}{5b} \cdot \frac{15b^2}{2a^2} = \frac{4 \cdot 15 \cdot a \cdot b^2}{5 \cdot 2 \cdot a^2 \cdot b} = \frac{6b}{a}$$.

б) $$\frac{3a}{b^2} : \frac{12a^2}{b^3} = \frac{3a}{b^2} \cdot \frac{b^3}{12a^2} = \frac{3 \cdot a \cdot b^3}{12 \cdot a^2 \cdot b^2} = \frac{b}{4a}$$.

г) $$10a^2 : \frac{5a}{b} = \frac{10a^2}{1} \cdot \frac{b}{5a} = \frac{10 \cdot a^2 \cdot b}{5a} = 2ab$$.

д) $$\frac{7x^3}{y^2} : (14x) = \frac{7x^3}{y^2} : \frac{14x}{1} = \frac{7x^3}{y^2} \cdot \frac{1}{14x} = \frac{7x^3}{14xy^2} = \frac{x^2}{2y^2}$$.