I have tried to turn on my tablet, however, when the initial screen shows it shuts down right after that. I have tried it several times & wont turn on.
Welcome to Android Central! It could be a battery issue or a motherboard issue. How old is the tablet? If it's not brand new, then do you habitually let the battery drain to zero or close to it before charging? That can reduce the battery's overall lifespan.
New Zeepad or old one? If it's new, have it replaced. If it's old, considering the price ($35-$40), it's cheaper to replace than to repair. Just the labor charge for opening it and closing it is about the price of a new one.