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Math Help - Polynomials

  1. #1
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    Polynomials

    Hello all,

    What would be the easiest way to simplify a polynomial raised to a fractional power. Such as this:

    (40 + 2x)^(-2/3)

    And here is the main problem:

    I'm trying to solve for x in this equation:

    821.6 = (40x)^(5/3) * (40 + 2x)^(-2/3)

    All help is appreciated. Thank you.
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  2. #2
    Master Of Puppets
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    Re: Polynomials

    cubing both sides gives \displaystyle 821.6^3 = (40x)^5\times (40+2x)^{-2}

    then getting rid of the negative exponent \displaystyle 821.6^3\times (40+2x)^{2} = (40x)^5

    You should be good from there.
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  3. #3
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    Re: Polynomials

    821.6 = { (40x)^5/(40+2x)^2}^(1/3)

    raise both sides to the power of 3

    821.6^3 = { (40x)^5/(40+2x)^2}

    Now you can solve for x
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