Are you sure it is charged? An update can drain a tablet's battery, if it was a large one. I would suggest first you plug it in and make sure it is actually charged. Once you are sure it is charged, try holding down the power button for about 20 seconds and see if it boots up.
Hopefully it will boot up just fine. If it powers up, but hangs or gives you trouble booting, you will need to shut it down again, and boot in "Safe Mode" to see if there is anything on the tablet that is making it not load.
If it doesn't charge, you will need to check to see if the problem is the cord, the charger port, or the battery. If it is the cord, that is easily replaced. Just make sure you get the right one, as Lenovo ones look like others on the...