Answer:
[tex]\frac{3x^{4} }{2y^{4} }[/tex]
Step-by-step explanation:
Factor out 7 from top and bottom :
[tex]\frac{7(3x^6y^5)}{7(2x^2y^9)}[/tex]
Divide top and bottom by 7 :
[tex]\frac{3x^6y^5}{2x^2y^9}[/tex]
Simplify :
[tex]\frac{x^6}{x^4}=x^{2}[/tex]
Simplify :
[tex]\frac{y^5}{y^9} = y^{-4} = \frac{1}{y^{4} }[/tex]
Collect everything together :
[tex]\frac{3x^{4} }{2y^{4} }[/tex]
Hope this helped and have a good day