Engineering Team - 30% All damage resistance
Emergency Power to Shields - 15% damage resistance to shields
Polarize Hull - 70% energy damage resistance
Rotate Shield Frequency - 50% damage resistance to shields
All four of these can be up at the same time. Substitute Engineering team for science team, or Polarize for Hazard Emitters, Whatever you want they all still gives resists.
So... How are these stacking?
The first one activated works the other resists don't?
The subsequent resistances stack only off the reduced damage from the ones before?
Only the last on the stack?
Any official/tested answers? I'd appreciate your conjecture, but I trust empirical evidence more.