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Math Help - Stumped from exponent

  1. #1
    Junior Member
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    Sep 2008
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    Stumped from exponent

    I have an exponent that needs to be simplified like this:

    (6x^(-8)y)^(-2) multiplied by (3x3y^(-3))^4

    Would it end up anything like this:

    (6^(-2)x^(16)y(-2)) multiplied by (3^(4)x^(4)3^(4)y^(-12)

    Thats what I got so far.
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  2. #2
    MHF Contributor
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    6^{-2}x^{16}y^{-2} \cdot 3^4x^4 \cdot 3^4y^{-12} is correct so far. Now you can combine like terms.
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  3. #3
    Junior Member
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    In the end I got:

    x^(20)3^(8) DIVIDED BY 36y^(14)

    Look alright?

    Thanks a million by the way!
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  4. #4
    Super Member 11rdc11's Avatar
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    Yes but you could still simplfy a little more.

    \frac{729x^{20}}{4y^{14}}
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