Posted by mark on Saturday, February 2, 2008 at 3:06pm.
You seem to be using "x" both as a variable and as the symbol for multiplication. We prefer to use * for multiplication here, to avoid confusion.
I assume you want to simplify
6x*2x^3 * 3x^2*y^2/(3x^3*x^4*y).
(This assumes that your x^4y at the end belongs in the denominator).
Rewrite it by adding repeated exponents:
36 x^6*y^2/(3x^7*y)
= 12 x/y
The simplification you wrote is wrong.
3x^2y^2/3x^3 = y^2*x^-1 = y^2/x
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