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Thread: radical

  1. July 22nd 2007, 01:40 AM #1
    princess_anna57
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    radical

    Simplify the following expression: x^3y^(-6/5) 5squareroot(x^-10y^11)?
    the power of the first y is -6/5. The 5 squareroot is the squareroot sign with the little five in front of it. Awesome! Thanks!
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  2. July 22nd 2007, 01:58 AM #2
    CaptainBlack
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    Quote Originally Posted by princess_anna57 View Post
    Simplify the following expression: x^3y^(-6/5) 5squareroot(x^-10y^11)?
    the power of the first y is -6/5. The 5 squareroot is the squareroot sign with the little five in front of it. Awesome! Thanks!
    Simplify:

    <br /> x^3 y^{-6/5} \root 5\of{x^{-10}y^{11}}<br />

    RonL
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  3. July 22nd 2007, 02:02 AM #3
    CaptainBlack
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    Quote Originally Posted by CaptainBlack View Post
    Simplify:

    <br /> x^3 y^{-6/5} \root 5\of{x^{-10}y^{11}}<br />

    RonL
    Assume x \ge 0 and y \ge 0, then:

    <br /> x^3 y^{-6/5} \root 5\of{x^{-10}y^{11}}=x^3 y^{-6/5}x^{-10/5}y^{11/5}=x^{3-2}y^{-6/5+11/5}=x~y<br />

    RonL
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