how do i connect a cinema hd display to a late model 2006 macmini

I can not figure out how to connect the power on the cinema display. It looks like it would plug into the back of the mini where the macmini would normally plug the power in. Not sure if I am missing something. I also do not know if I need to plug all 4 connections the video, usb, hdmi, and iguess what is the power plug in or just certain plugs. thanks