Further interrogation suggests that the question read "with a power assisted system", not fully powered. In this case I would expect the same reaction as with a manual system. You will be trimming for zero stick force, not zero elevator deflection, and will end up with some elevator deflection when, for trim reasons, the stabiliser is set markedly nose up or nose down. This, I think, would be elevator tail down if the stab is nose down, and vice versa. Have I got that right?
In a fully powered system I would expect zero elevator deflection when in trim, in the absence of any deliberate sytem adjustments as mentioned.
Does that seem about right?
Thanks all,
Dick W