Alright! To simply means to just put it as simple as it can be while still meaning the same thing. So, in this question you're simplifying:
[tex] \frac{6xy^{6}z^{2} }{2y^{2}z^{8}} [/tex]
First, you divide the whole numbers:
[tex] \frac{6xy^{6}z^{2} }{2y^{2}z^{8}} [/tex] → [tex] \frac{3xy^{6}z^{2} }{y^{2}z^{8}} [/tex]
All you have to do now is cancel out the powers with their corresponding base. So you'll get the following:
[tex]\frac{3xy^{4}}{z^{6}} [/tex]