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Math Help - I'm stumped. Please help.

  1. #1
    Newbie
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    I'm stumped. Please help.

    x^6*(x^3*y^9)^0.5 + y^-1*(x^3*y^5)^0.5

    My maths equation looks even more convoluted with the symbols I have used. Could come one please direct me to a page where I could learn how to use the special symbols such as various roots, multiplication, division etc...

    Also, it would be best if someone could tell or show me the first step rather then solving it all straight out. That way I could see if I can do the rest.

    Thanks in advance,
    Turkey
    Last edited by Turkey; February 26th 2008 at 03:30 AM.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Turkey View Post
    x^6*(x^3*y^9)^0.5 + y^-1*(x^3*y^5)^0.5

    My maths equation looks even more convoluted with the symbols I have used. Could come one please direct me to a page where I could learn how to use the special symbols such as various roots, multiplication, division etc...

    Also, it would be best if someone could tell or show me the first step rather then solving it all straight out. That way I could see if I can do the rest.

    Thanks in advance,
    C. Anderson
    x^6(x^3y^9)^{0.5} + y^{-1}(x^3y^5)^{0.5}

    expand brackets:

    x^6(x^3y^9)^{0.5} + y^{-1}(x^3y^5)^{0.5}=x^6x^{1.5}y^{4.5} + y^{-1}x^{1.5}y^{2.5}

    Now collect powers of the variables:

    ................ =x^{7.5}y^{4.5} +x^{1.5}y^{1.5}

    Takre out the common factors:

    ................ =x^{1.5}y^{1.5}(x^{6}y^{3} +1)

    and tidy up:

    ................ =(xy)^{3/2}(x^{6}y^{3} +1)=(xy)^{3/2}([x^{2}y]^{3} +1)

    RonL
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