You could have damaged the LCD or a connection may have came loose when you dropped it.
Here are some basic troubleshooting solutions-
1. Hold the Sleep/Wake (power) button and home button together for a few seconds to see if the device powers on.
2. Try plugging the device into your PC to see if iTunes recognises it. If iTunes does recognise the device then this can suggest there may be a problem with the display. You can also try to update and restore the device via iTunes before looking into any hardware problems.
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