My 3ds xl won't turn on

So I have had my 3ds xl for about a year and suddenly it stopped turning on at first I thought it was because I dropped it but then it started to turn on a some point,but would shut off when I moved the ds around,and I looked at the battery port and noticed that the 3 golden battery connecters are shakey and go back in the ds and then are just messed up looking and I noticed that others 3ds xls battery connecters were not like that,CAN ANYBODY HELP A FELLOW GAMER OUT