How do you multiply and simplify #\frac { - 6s } { 7} \cdot \frac { 3} { 4s ^ { 2} }#?

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Answer 1 · 2018-03-25T02:30:32

The answer simplifies to #-9/(14s)#

You can use this fraction rule:

#color(red)a/color(blue)b*color(green)c/color(purple)d=(color(red)a*color(blue)c)/(color(green)b*color(purple)d)#

Here's this rule applied to our problem:

#color(white)=(-6s)/7*3/(4s^2)#

#=(-6s*3)/(7*4s^2)#

#=(-18s)/(7*4s^2)#

#=(-18s)/(28s^2)#

#=(-18color(red)cancelcolor(black)s^1)/(28color(red)cancelcolor(black)(s^2)^s)#

#=(-18)/(28s)#

#=(color(red)cancelcolor(black)(-18)^-9)/(color(red)cancelcolor(black)28^14s)#

#=(-9)/(14s)#

#=-9/(14s)#

That's the simplified answer. Hope this helped!