Nothing to turn on, afraid it might be hardware problem.
Two things to try before returning or sending to ASUS.
1. Cold boot remove powercord if plugged in, than turn off the TAB. Hold both the power and the volume down button until you see white lettering in upper left corner release both and allow the TAB to boot up. You will not lose anything with this method.
2. Complete reset look in the settings section and find the system reset and initiate, this will lose evrery thing such as personal data, pics, music, etc. If you have not installed much it will be easy to get back to where you are now.
Click the link in my signature it may lead you to other solutions.