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Math Help - Simplifying Exponents

  1. #1
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    Simplifying Exponents

    If anyone could help me out with this problem it would be appreciated.

    6^2 x^-4y^-1 divided by 6^3 x ^-3 y^7

    I understand you move the negatives down or up, but do you need to square the numbers for it to be in simplest form?

    I got 6^2 x ^3 divided by 6^3 x^4 y^8 but I dont know if this is correct.
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  2. #2
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    Quote Originally Posted by JeffSbadatmath View Post
    If anyone could help me out with this problem it would be appreciated.

    6^2 x^-4y^-1 divided by 6^3 x ^-3 y^7

    I understand you move the negatives down or up, but do you need to square the numbers for it to be in simplest form?

    I got 6^2 x ^3 divided by 6^3 x^4 y^8 but I dont know if this is correct.
    Hi Jeff,

    So far, so good. You just needed to take it to the last step.
    I hope you understand that when you say 'move' that you are using the correct property of exponents.

    \frac{x^a}{x^b}=x^{a-b}

    Therefore: \frac{6^2 x^{-4}y^{-1}}{6^3 x^{-3} y^7}=6^{2-3}x^{-4-(-3)} y^{-1-7}=6^{-1}x^{-1}y^{-8}=\frac{1}{6xy^8}
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  3. #3
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    I see. Thanks for your help.
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