Упростите выражение: 3x^2/2y^2z^2*6y^3/7z^6:9zy/14z^2.

\[\frac{3x^{2}}{2y^{2}z^{2}} \cdot \frac{6y^{3}}{7z^{6}}\ :\frac{9xy}{14z^{2}} =\]

\[= \frac{3x^{2} \cdot 6y^{3} \cdot 14z^{2}}{2y^{2}z^{2} \cdot 7z^{6} \cdot 9xy} = \frac{2x}{z^{8}}.\]