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Math Help - Does this Make sense?

  1. #1
    Newbie
    Joined
    Sep 2008
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    3

    Does this Make sense?


    Could someone try to explain if it does? Thank you
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  2. #2
    MHF Contributor
    Joined
    Apr 2008
    Posts
    1,092
    Try using powers in parentheses. This expression is equivalent to

    ((a/b) \cdot x)^{1/2}

    where
    x = ((b/a) \cdot (a/b)^{1/2})^{1/2}.

    Let's evaluate x.
    x = ((a/b)^{-1} \cdot (a/b)^{1/2})^{1/2}

    x = ((a/b)^{-1/2})^{1/2}

    x = (a/b)^{-1/4}

    Now for the original expression:
    ((a/b) \cdot (a/b)^{-1/4})^{1/2}
    ((a/b)^{3/4})^{1/2}
    (a/b)^{3/8}

    Hence k = 3/8.
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