#### Answer

$= \frac{350}{3a^{3}b^{2}c^{2}} $

#### Work Step by Step

$\frac{35a^{2}}{12b^{3}c} \times \frac{40b}{a^{5}c}$
$= \frac{35a^{2}(40b)}{12b^{3}c(a^{5}c)} $
$= \frac{1400a^{2}b}{12a^{5}b^{3}c^{2}} $
$= \frac{350a^{2}b}{3a^{5}b^{3}c^{2}} $
$= \frac{a^{2}b(350)}{a^{2}b(3a^{3}b^{2}c^{2})} $
$= \frac{350}{3a^{3}b^{2}c^{2}} $