Given:
[tex]\frac{5x^2y^{11}}{2}\frac{.}{.}\frac{x^4y^6}{6}[/tex]
We first need to change the divion to multiplication by inverting the term that comes after the division sign.
That is;
[tex]\frac{5x^2y^{11}}{2}\times\frac{6}{x^4y^6}[/tex]
Apply the laws of indices;
[tex]\frac{6\times5x^2y^{11}x^{-4}y^-^6}{2}[/tex][tex]=3\times5x^{2-4}y^{11-6}[/tex][tex]=15x^{-2}y^5[/tex][tex]=\frac{15y^5}{x^2}[/tex]
