Answer:
[tex]\frac{16}{5}x^{2}y^{10}[/tex]
Step-by-step explanation:
[tex]\dfrac{12x^{9}y^{9}}{15x^{7}y}\cdot4y^{2} = \dfrac{4x^{2}y^{8}}{5}\cdot4y^{2} = \mathbf{\frac{16}{5}x^{2}y^{10}}[/tex]