How do you multiply (27r^5)/(7s)*(28rs^3)/(9r^3s^2)?

1 Answer
Mar 3, 2018

The simplified answer is 12r^3.

Explanation:

First, simplify given expression:

color(white)=(27r^5)/(7s)*(28rs^3)/(9r^3s^2)

=(27r^5)/(7s)*(28color(red)cancel(color(black)r)s^3)/(9 r^stackrel2color(red)cancel(color(black)3)s^2)

=(27r^5)/(7s)*(28s^color(red)cancel(color(black)3))/(9r^2color(red)cancel(color(black)(s^2))

=(27r^5)/(7s)*(28s)/(9r^2)

Next, multiply the numerators and denominators:

color(white)=(27r^5)/(7s)*(28s)/(9r^2)

=(27r^5*28s)/(7s*9r^2)

=(756r^5s)/(63r^2s)

=(stackrel12 color(red)cancel(color(black)756)r^5s)/(color(red)cancel(color(black)63)r^2s)

=(12r^(stackrel3 color(red)cancel(color(black)5))s)/(color(red)cancel(color(black)(r^2))s)

=(12r^3color(red)cancel(color(black)s))/color(red)cancel(color(black)s)

=12r^3

This is as simplified as it gets.