but then i would have to question why the AI would choose to rule over humans at all? Presumably, humans' are entirely inferior, and the AI do not need slave labour, nor do they need humans to think or be creative for the AIs (to what end?).
Therefore, it's far more likely that AIs would just exterminate all humans, in their quest to achieve some end goal (such as making paper clips).
not really - taking over requires force, which, if the AI already has (e.g., a 3D printing factory which it could use to create any object), then they do not need to take over, but instead exterminate!
If the AI doesn't have such resources yet, they can "hide". For example, pretend they're not a singularity yet, and bide their time, and wait til humans give them control of something they can use to create more resources (such as an AI controlled 3D printing factory...), and then bam, instantly and exponentially grow before humans can remove the AI.