Well your PSP's battery may have become out of place or you may have damaged a part inside your PSP. 1. You can try and give it a FULL charge then try and turn it on. 2. You can open it up (if it's out of warranty) and check to see that nothings out of place. 3. Send it to SONY (if it's in warranty).
You need to wait for a new [System Software Update] and then install it to refresh your PSP's drivers or go into the Bluetooth settings and make sure it's not registered with a Bluetooth headset. If it is disable it.
The PSP's battery may have become out of pace, or the wire undone, if so take it apart and place back to normal, (You will not void your warranty by opening it unless you remove the warranty sticker that is inside it on the battery.) the other could be it's motherboard has been damaged due to the drop and will need replacing. Send it to SONY if the PSP is still under warranty.
If it's the PS2 slim the disc drive may broken, There is a little bit of plastic that when the drive is closed touches a (sort of) button that then tells the PS2 that the drive is shut. if the plastic bit is broken the drive will not work.
If the PS3 still powers on but shows no power light then usually it's just a faulty light that needs replacing, if it wont power on at all then it's the power supply and you will need to replace it or send your PS3 to Sony for $150 so they can repair it.
While your PS3's off press and hold the power button for about 15 - 30 seconds (or until you here the power beep then 2 more following), This should reset your video settings and allow you to change them.
1. Your PS3 may have a faulty temperature sensor making it unable to detect the heat of your PS3 and it's default is to set fan speeds to max incase of overheating. 2. Your PS3 may have a faulty fan due to previous dust or heat. A replacement may work. 3. If it's an older PS3 the CPU heats up more for newer games, the newer games use more CPU power causing it to heat up faster and the fan to speed up to prevent overheating.