In the newly launched Mister Terrific, Power Girl appears in her civilian identity and does not display any superhuman abilities.
If you don't mind, I'll wait until the fight scene gets started (as opposed to the cliffhanger reveal we got to see in the first issue) before I decide whether this means she has no powers in the relaunched DC universe.
EDIT: I kind of lost track of Mister Terrific, so I'm not sure if Karen Starr ever exhibited any powers in that title, but it's since been revealed in Worlds' Finest that yes, indeed, that was a fully empowered Power Girl.