Выполните умножение: (2a^4b)/(9c^2d)*(15a^2d^5)/(16b^3c)•(12c^3b^2)/(35a^5d^4).

Ответ:

\[\frac{2a^{4}b}{9c^{2}d} \cdot \frac{15a^{2}d^{5}}{16b^{3}c} \cdot \frac{12c^{3}b^{2}}{35a^{5}d^{4}} =\]

\[= \frac{2a^{4}b \cdot 15a^{2}d^{5} \cdot 12c^{3}b^{2}}{9c^{2}d \cdot 16b^{3}c \cdot 35a^{5}d^{4}} =\]

\[= \frac{4a^{6}b^{3}c^{3}d^{5}}{8 \cdot 7a^{5}b^{3}c^{3}d^{5}} = \frac{a}{14}\]