I'd say the first thing you want to do is try to determine if it's a screen problem or a power issue. In other words, does it turn on and work but you just can't see anything on the screen (which would tend to indicate a damaged screen), or is it not turning on at all, which could be due to a number of problems; broken power button, damaged battery, motherboard defect, etc.
Try doing what you normally would to turn it on despite the fact that you can't see anything on the screen. Any reaction such as vibration, sounds, etc.? Do you get any indication when you plug in the charger? Is it recognized when plugged into a computer? If it seems like it's working, that would tend to point to a damaged display and should be relatively straight-forward to fix. Otherwise it may take much more diagnosis to figure out what's going on with it.
Keep in mind that Apple doesn't actually repair iPads; best you can do is get trade-in credit toward another Apple product, so if you end up needing to take it in for repairs, you'll need to find a non-Apple shop that is familiar with working on iPads.
Even though it's just a small crack, that obviously indicates the screen took some damage. Even if there were no cracks, the screen could still be broken; there are delicate connections between the flex cable that goes to the motherboard and the glass the LCD or OLED circuitry is printed on that are all too easy to disrupt, resulting in a non-functional screen. That sort of damage is, unfortunately, unrepairable and the only fix for it is to replace the screen.
@catnuggetyt That actually does sound promising; it's likely there's a prompt on the screen asking you if you trust the computer you're plugging it into; if you haven't trusted it in the past then it won't connect without being able to see the screen.
Unfortunately it's not likely to be a loose cable; all Apple products have their internal connectors locked down with brackets and screws - I've never seen a connector come loose on any Apple product I've ever worked on.
The chances are fairly good that a new screen will fix the problem, although I can't guarantee that. Many vendors will allow you to return a screen that hasn't actually been installed; if that's the case you could go ahead and remove your old screen then just plug in the replacement and see if it works. If so, go ahead and install it and you're done; otherwise you can return it for a refund. Naturally you'll have to check with the seller to see if they'll accept a return if it doesn't fix the problem.
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