# Simplification

• Sep 12th 2011, 08:53 PM
Bryton
Simplification
Hey guys!

I have been trying to figure out this problem all day and no matter what I do I keep coming to the same answer which I have been assure is incorrect. The Question is to simplify:

((a^2*c^-2)/(b^3)) * ((b^4*c^3)/(a^3*b^2))^2

This is my working:

((a^2*c^-2)/(b^3)) * ((b^8*c^6)/(a^6*b^4))

which results in:

((a^2*c^4*b^8)/(a^6 * b^7))

A point in the right direction would be great, peace guys :)
• Sep 12th 2011, 09:19 PM
Prove It
Re: Simplification
Quote:

Originally Posted by Bryton
Hey guys!

I have been trying to figure out this problem all day and no matter what I do I keep coming to the same answer which I have been assure is incorrect. The Question is to simplify:

((a^2*c^-2)/(b^3)) * ((b^4*c^3)/(a^3*b^2))^2

This is my working:

((a^2*c^-2)/(b^3)) * ((b^8*c^6)/(a^6*b^4))

which results in:

((a^2*c^4*b^8)/(a^6 * b^7))

A point in the right direction would be great, peace guys :)

You're almost there, now cancel...
• Sep 12th 2011, 09:23 PM
Bryton
Re: Simplification
Oh the cancelling, of course!
Would that mean the final answer is:

((c^4 * b))/(a^4)?
• Sep 12th 2011, 09:24 PM
Prove It
Re: Simplification
Quote:

Originally Posted by Bryton
Oh the cancelling, of course!
Would that mean the final answer is:

((c^4 * b))/(a^4)?

Correct, though it's convention to write the letters in alphabetical order, so (b * c^4)/(a^4) :)
• Sep 12th 2011, 09:26 PM
Bryton
Re: Simplification
Ah, I shall write it like that in my answer, thank you very much for your help, it is greatly appreciated :)