It doesn't turn off if you press and hold the power button?
I suggest resetting the laptop, unplug the power adapter, remove battery then press and hold the power button for ~30 seconds. Put battery back in, plug power in and attempt to restart. If still nothing on the display, shine a flashlight at the screen, if you can see a faint image the most likely thing would be the backlight power inverter has failed. If no image can be seen at all try connecting to an external monitor through VGA or HDMI and see if anything on the external monitor