a) $$\frac{12x^{-5}}{y^{-6}} \cdot \frac{y}{36x^{-9}} = \frac{12}{36} \cdot \frac{x^{-5}}{x^{-9}} \cdot \frac{y}{y^{-6}} = \frac{1}{3}x^{4}y^{7}$$
б) $$\frac{63a^2}{2b^{-5}} \cdot \frac{18b^2}{7a} = \frac{63 \cdot 18}{2 \cdot 7} \cdot \frac{a^2}{a} \cdot \frac{b^2}{b^{-5}} = 81ab^{7}$$
в) $$\frac{5x^{-1}y^3}{3} \cdot \frac{9x^6}{y^{-2}} = \frac{5 \cdot 9}{3} \cdot \frac{x^{-1}}{1} \cdot \frac{x^6}{1} \cdot \frac{y^3}{1} \cdot \frac{1}{y^{-2}} = 15x^{5}y^{5}$$
г) $$\frac{16p^{-1}q^2}{5} \cdot \frac{25p^6}{64q^{-8}} = \frac{16 \cdot 25}{5 \cdot 64} \cdot \frac{p^{-1}}{1} \cdot \frac{p^6}{1} \cdot \frac{q^2}{1} \cdot \frac{1}{q^{-8}} = \frac{5}{4}p^{5}q^{10}$$