Which expression is equivalent to the given expression? Assume the denominator does not equal zero.

Answer:
[tex]2x^6y^2[/tex]
Step-by-step explanation:
Step 1: simplify integers in expression
[tex]\frac{12x^{9}y^{4}}{6x^{3}y^{2}} = \frac{2x^{9}y^{4}}{x^{3}y^{2}}[/tex]
Step 2: simplify x terms
[tex]\frac{2x^{9}y^{4}}{x^{3}y^{2}} = \frac{2x^{6}y^{4}}{y^{2}}[/tex]
Step 3: simplify y terms
[tex]\frac{2x^{6}y^{4}}{y^{2}} = 2x^6y^2[/tex]