Hi,
When you plug it in, do the front LEDs on the battery icon light up?
If so, try pressing and holding the power button for 10 seconds and see if the screen turns on. If the LEDs light up but nothing appears on the screen, there might be a screen malfunction or a problem turning it on.
Does it beep when you try to turn it on? If the battery LED doesn't light up, check if the battery is removable on the back; remove it and try turning it on. If it still doesn't work, unfortunately it could be the power adapter or some internal hardware failure.
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Thanks