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Algebra

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{27a^4b^3} {66x^6y^6}
________ *_________
{22x^3y^3} {36a^6b^3}

  • Algebra - ,

    notice you have no addition or subtraction, so canceling will work very well.
    On the side in rough do
    27(66)/(22(36))
    = 1/4 , after dividing top and bottom by 9, by 11, by 2 and by 4

    the a's : a^4/a^6 = 1/a^2 , so a^2 at the bottom
    the b's : b^3/b^3 = 1 , so they will just cancel
    the x's : x^6/x^3 = x^3 , goes to the top
    the y's : y^6/y^3 = y^3 , goes to the top

    so our answer is

    (1/4)x^3 y^3 /a^2
    or
    x^3y^3/(4a^2)

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