#### Question

# Me again.....Simplify each expression. Show factoring and cancelling.?

1/4 divided by 24x

And..

14a^3b^3 / 6c^3 divided by 12c^2 / 7ab

Thanks so much! =)

#### Answers

( 1/4 ) / ( 24x ) = (24x) * ( 1/4 )

So, we evaluate:

24x/4 = 6x

And the next question:

14a^3b^3 / 6c^3 divided by 12c^2 / 7ab = ( 14a^3b^3 / 6c^3 ) * ( 7ab/12c^2 )

So, evaluate and simplify:

( 14a^3b^3 / 6c^3 ) * ( 7ab/12c^2 )

= ( 14a^3b^3 * 7ab / 6c^3 * 12c^2)

= ( 98a^4b^4 / 72c^5)

= 13a^4b^4 / 12c^5

Hope that helped

#1