My iPad suddenly shut down and won't turn back on.

I've recently been using my iPad to watch alot movies, and something terrible occured last night. I was watching some movies one my iPad air 2 (bought last year), while being charged, with my headphones plugged in. Then all of a sudden the screen suddenly went black. None of the buttons on the iPad would work, and I've tried all the solutions online, but they were all useless. I have tried pressing the home button and power button for over a minute, but the apple logo would not appear. It seems like the screen just wouldn't turn on. It also doesn't connect to iTunes, so I can't backup my data, so I'm bascially screwed. Could anybody help me out in this situation??? I don't want to spend another hundred bucks on repairing this. Thanks for your support.