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Math Help - simplify

  1. #1
    Junior Member
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    simplify

    I need to simplify 2 expressions:

    a) \frac{7}{(x-4)(x-4)}


    b) \frac{-3\sqrt{x-2}}{2(x-2)^2}
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  2. #2
    Member
    Joined
    Jan 2009
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    Quote Originally Posted by Bernice View Post
    I need to simplify 2 expressions:

    a) \frac{7}{(x-4)(x-4)}


    b) \frac{-3\sqrt{x-2}}{2(x-2)^2}
    Are you meant to use index laws? If so then note:

    a) \frac{7}{(x-4)(x - 4)} = \frac{7}{(x-4)^2} = 7 (x - 4)^{-2} (the last is a debatable simplification).

    b) \sqrt{x - 2} = (x - 2)^{1/2}. Now use the fact that \frac{a^{1/2}}{a^2} = a^{\frac{1}{2} - 2} = a^{-3/2} = \frac{1}{a^{3/2}} = \frac{1}{a \sqrt{a}}.

    (Judging from your other posts the algebra here should be routine to someone with your background).

    Note: Simplify is a very vague word to use without a broader context in which to place these question.
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