Thread: 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

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...

Oh the cancelling, of course!
Would that mean the final answer is:

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

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)

Ah, I shall write it like that in my answer, thank you very much for your help, it is greatly appreciated