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Math Help - Simplify Equation

  1. #1
    Junior Member
    Joined
    Jul 2011
    Posts
    31

    Simplify Equation

    Okay, I've been working on these problems for hours now and it has been killing me. I'm on the edge of. . . let me get to the point. . . Here's the problem.


    or the link
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    Here's what I gotten:

    27u^9/z^14
    PLEASE ASSIST. I've tried.. Tried so much.. Wasted so many sheets of paper, this is ridiculous.
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  2. #2
    Super Member Quacky's Avatar
    Joined
    Nov 2009
    From
    Windsor, South-East England
    Posts
    901

    Re: Simplify Equation

    Take it one step at a time.

    Starting with:

    (\frac{x^{-1}u^3}{3z^{-3}})

    x^{-1}=\frac{1}{x} and z^{-3}=\frac{1}{z^3}

    This means we can rewrite this as:

    \frac{z^3u^3}{3x}

    Cubing this:

    [\frac{z^3u^3}{3x}]^3

    \frac{(z^3u^3)^3}{(3x)^3}

    Take it one step at a time, starting with (z^3)^3

    =(z^3)(z^3)(z^3)

    = z^9 using the rule that n^a\cdot{n^b}=n^{a+b}

    We can generalize this to have: (n^a)^b=n^{a\times{b}}

    So do this to each term, remembering to cube the 3.

    Once you get there, it just becomes a case of cancelling.

    It looks like you're nearly finished with your simplifying. So no worries.
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