1. Выполните деление: 1) a) $$rac{3a^2}{b} div \frac{b}{a^3}$$; б) $$-\frac{2x^2}{y} div \frac{6x^3}{b^2}$$; в) $$\frac{9m}{14n} div \frac{4m^2}{21n^2}$$; г) $$12x^2 div \frac{6x}{c}$$; д) $$\frac{56y^2}{a^2} div (16y^3)$$;

Решим примеры на деление: а) $$\frac{3a^2}{b} div \frac{b}{a^3} = \frac{3a^2}{b} \cdot \frac{a^3}{b} = \frac{3a^5}{b^2}$$ б) $$\frac{-2x^2}{y} div \frac{6x^3}{b^2} = \frac{-2x^2}{y} \cdot \frac{b^2}{6x^3} = \frac{-2b^2x^2}{6x^3y} = \frac{-b^2}{3xy}$$ в) $$\frac{9m}{14n} div \frac{4m^2}{21n^2} = \frac{9m}{14n} \cdot \frac{21n^2}{4m^2} = \frac{9 \cdot 21 mn^2}{14 \cdot 4 m^2 n} = \frac{9 \cdot 3n}{2 \cdot 4m} = \frac{27n}{8m}$$ г) $$12x^2 \div \frac{6x}{c} = 12x^2 \cdot \frac{c}{6x} = \frac{12cx^2}{6x} = 2cx$$ д) $$\frac{56y^2}{a^2} \div (16y^3) = \frac{56y^2}{a^2} \cdot \frac{1}{16y^3} = \frac{56y^2}{16a^2y^3} = \frac{7}{2a^2y}$$