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Math Help - Equivalent Algebraic Expressions.

  1. #1
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    Equivalent Algebraic Expressions.

    I am trying to see right now how these became equivalent:

    \frac{1}{2}((x-a)^2+y_0^2)^-^1^/^2(2(x-a))=\frac{x-a}{\sqrt(x-a)^2+y_0^2}

    Thanks in advance...
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  2. #2
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    Re: Equivalent Algebraic Expressions.

    x^{-k} = \dfrac{1}{x^k} and x^{1/n} = \sqrt[n]{x} (where k is any real number and n is a positive integer). Do you see it now?
    Last edited by SlipEternal; November 5th 2013 at 01:03 PM.
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  3. #3
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    Re: Equivalent Algebraic Expressions.

    \frac{1}{2}*\frac{2(x-a)}{((x-a)^2+y_0^2)^1^/^2}?

    I think this is maybe it. Thank you for your reply.
    Last edited by sepoto; November 5th 2013 at 01:08 PM.
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  4. #4
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    Re: Equivalent Algebraic Expressions.

    Quote Originally Posted by sepoto View Post
    I am trying to see right now how these became equivalent:

    \frac{1}{2}((x-a)^2+y_0^2)^-^1^/^2(2(x-a))=\frac{x-a}{\sqrt(x-a)^2+y_0^2}

    Thanks in advance...
    I presume you know that \frac{1}{2}(2)= 1. You should also know that A^{1/2}= \sqrt{A} and A^{-1/2}= \frac{1}{A^{1/2}}= \frac{1}{\sqrt{A}}
    Thanks from sepoto
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