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Math Help - exponential functions

  1. #1
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    Post exponential functions

    I need help with this question:

    2x^3 y^-2
    8x^-2 y^-3

    What its asking me to do is to simplify the question. Can anyone help me??
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  2. #2
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    Quote Originally Posted by Gomaz23 View Post
    I need help with this question:

    2x^3 y^-2
    8x^-2 y^-3

    What its asking me to do is to simplify the question. Can anyone help me??
    \frac{2x^3y^{-2}}{8x^{-2}y^{-3}}

    \left(\frac{2x^3}{8x^{-2}}\right)\left(\frac{y^{-2}}{y^{-3}}\right)

    you should know

    y^{-n} = \frac{1}{y^n}

    moving the number from the denominator to nominator change the exponent sign, so

     \left(\frac{2x^3}{8x^{-2}}\right) = \frac{2x^3 . x^2}{8}= \frac{2x^{3+2}}{8}= \frac{2x^5}{8}

    \left(\frac{y^{-2}}{y^{-3}}\right) = y^{-2}. y^{3}= y^{-2+3} = y

    \frac{2x^3y^{-2}}{8x^{-2}y^{-3}} = \frac{2x^5y}{8}=\frac{x^5y}{4}
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