2. Divide 8xy^2-9x^2y+6x^2y^2 by x^2 using the quotient of powers property.

To divide the expression $$8xy^{2}-9x^{2}y+6x^{2}y^{2}$$ by $$x^{2}$$ using the quotient of powers property, we need to apply the rule that states $$\frac{a^m}{a^n} = a^{m-n}$$ .

Let's divide each term in the expression by $$x^{2}$$ :

1. $$\frac{8xy^{2}}{x^{2}} = 8y^{2}$$
2. $$\frac{-9x^{2}y}{x^{2}} = -9y$$
3. $$\frac{6x^{2}y^{2}}{x^{2}} = 6y^{2}$$

So, the expression $$8xy^{2}-9x^{2}y+6x^{2}y^{2}$$ divided by $$x^{2}$$ is $$8y^{2} - 9y + 6y^{2}$$ .