My Nikon D5100 hit the pavement when the strap broke. Since then, I have no power. A local camera shop agreed there was no battery power and suggested a new battery. After charging the new one, I still have no power to the camera - no lights, no shutter, nada.... Any suggestions before I take it in for repairs at an incredible cost?
You'll probably need to get it serviced. There are a lot of other things that could be wrong from that harsh of a drop anyway.
Also, don't go to the same camera shop you went to. Replacing the battery made no sense at all for your scenario. They were either incompetent at their jobs or worse, just wanted to get money from you by selling a battery you didn't need. Dropping a camera wouldn't make a battery go bad. It might cause a break in the connectors within the camera, but you could chuck a battery around the room all day long and it wouldn't do a thing to it unless you managed to break the case.
Your best bet is going to be to contact Nikon directly probably. It may not even be a power related problem. If some other hardware was damaged, it may simply fail to power up despite having power provided to it.