Why my table would not turn on

First step is does your power supply or device have a power indicator Lots don't. Have you tested the power cable on another device. usually tablet power connectors are mini or micro USB so you can try another phone cable or USB power adaptor on your tablet also it might not have as much power but it will trickle charges

If screen glitches and this only when power button is pressed would indicate low power

Also check non of the USB or HDMI pins are touching on device as can cause tablet to also cut out

Sometimes simple things cause complicated problems