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Math Help - Simplification

  1. #1
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    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
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  2. #2
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    Re: Simplification

    Quote Originally Posted by Bryton View Post
    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...
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  3. #3
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    Re: Simplification

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

    ((c^4 * b))/(a^4)?
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  4. #4
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    Re: Simplification

    Quote Originally Posted by Bryton View Post
    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)
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  5. #5
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    Re: Simplification

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