Penicillins are a group of antibiotics, so penicillin is able to kill bacteria. Still, some bacteria produce a chemical to be resistant to penicillin, which mean that those bacteria can survive exposure to penicillin.
If one of those bacteria reproduce asexually, its reproduction depends only on itself, and the offspring will be identical to the parent, becaus in asexual reproduction there is no combination of gametes to form a different offspring.
So the offspring will have the same ability as the parent, being able to survive exposure to penicillin.
Therefore, the correct answer is D. Survive exposure to penicillin.