So I put an armature on my complex character that I did in as part of a course. but I want to export it and I need to smooth the Normals. You can't do that with Armature Mode on, so how do I turn it off so that I can modify my model?
Per my comment on your question, you appear to be in
Pose Mode (which you referred to as 'armature mode'). If you hit
Tab, you should be able to choose to switch instead into another mode. You'll want
Edit Mode or
Object Mode to get back into the basic modeling pipeline, or perhaps Sculpt Mode.
You can also control these options from the mouse-clickable menu in the bottom-left section of your
3D View window, which currently says
Pose Mode in the image you posted. You can find this menu at the location indicated below: