Just to be clear, are you asking if you can plug the second speaker output from a tiny terror into a poweramp? Because I believe that would be a definite problem. If I understand correctly, the signal would have to be attenuated by something like a THD hot plate, and then the line out from the attenuator could be used with a power amp, P/A, etc.
If you are asking if an F2-B output can be ran directly with a power amp, then the answer is yes.