# Math Help - A simplifying algebraic expression tribulation.

1. ## A simplifying algebraic expression tribulation.

Can you please help me to simplify this-

6p^2q/9q^2r times 2pr/5pq divide by 8rqp/6r^3p^2

Many thanks to all benevolences!

2. Originally Posted by DengXiang
Can you please help me to simplify this-

6p^2q/9q^2r times 2pr/5pq divide by 8rqp/6r^3p^2

Many thanks to all benevolences!
Note that
$a^ma^n = a^{m+n}$
$a^m/a^n = a^{m-n}$

In your case we have

$(6p^2q)(2pr/5pq)/(8rqp/[6r^3p^2])$

when dividing by a fraction we may flip it and multiply:

$(6p^2q)(2pr/5pq)(6r^3p^2)/(8rqp)$
to which we collect and simplify, one at a time to get :

$\frac{9}{5}p^4q^{-1}r^3$ = $\frac{9p^4r^3}{5q}$