Question 883028
{{{((6a^2b)/(b^2c))*((5c^3)/(8b))}}}
=
{{{(((6a^2b)*(5c^3))/((b^2c)*(8b))))}}}
= multiply numbers together and reorder the bottom
{{{(((30*a^2*b*c^3))/((8b)*(b^2c))))}}}
simplify the bottom
{{{(((30*a^2*b*c^3))/((8b^3*c))))}}}
use the fact that 30/8 = 15/4 and {{{b/b^3 = 1/b^2}}} and {{{c^3/c = c^2}}}
to simplify
{{{(((15*a^2*c^2))/((4b^2))))}}}