Question 117335
{{{-3x^(-2)y^2x^5+6x^3y^(-2)y^4-3x^3y^2+5x^2y^3}}} Start with the given expression



{{{-3(x^(-2)x^5)y^2+6x^3(y^(-2)y^4)-3x^3y^2+5x^2y^3}}} Group like terms



{{{-3x^3y^2+6x^3(y^(-2)y^4)-3x^3y^2+5x^2y^3}}} Multiply {{{x^(-2)}}} and {{{x^5}}} to get {{{x^3}}}




{{{-3x^3y^2+6x^3y^2-3x^3y^2+5x^2y^3}}} Multiply {{{y^(-2)}}} and {{{y^4}}} to get {{{y^2}}}



{{{(-3x^3y^2+6x^3y^2-3x^3y^2)+5x^2y^3}}} Group like terms




{{{0x^3y^2+5x^2y^3}}} Combine like terms



{{{5x^2y^3}}} Remove the zero term



So {{{-3x^(-2)y^2x^5+6x^3y^(-2)y^4-3x^3y^2+5x^2y^3}}} simplifies to {{{5x^2y^3}}}. In other words, {{{-3x^(-2)y^2x^5+6x^3y^(-2)y^4-3x^3y^2+5x^2y^3=5x^2y^3}}}