Lenovo 500e Chromebook 81ES Not Powering On

The Lenovo 500e Chromebook 81ES is a laptop made by Lenovo Group Limited and sold by Google LLC. This laptop was manufactured and released March 2nd, 2019. One problem that users have reported is that The Lenovo 500e Chromebook 81ES doesn't power on and is unresponsive.

Batteries in devices are not foolproof; they have a certain number of charging cycles. Once they reach their limit, they decay rapidly. This is a very common problem when laptops do not power on.

Hold your power button for 30 seconds, then wait to see if that will turn your screen on or any lights on your laptop.
Batteries, especially Lithium-ion batteries, if they are damaged, can start to swell and create a bulge, making the battery not hold a charge. To check to see if your laptop's battery is bulging, view this guide.
For Battery replacement refer please this Guide Lenovo 500e Chromebook 81ES Battery Replacement

Laptops need an operating system to power on. If your SSD/HDD Hard Drive is corrupted or damaged, this could prevent your device from powering on.
You can check your device's Hard Drive by plugging your computer into another computer and trying to see if you can transfer files from the working computer to the non-working laptop.
You can also connect a USB stick to a USB port with your laptop's operating system loaded to see if you can upload the correct operating system.

When a computer fails to turn on, it may very well be due to the Motherboard failing or malfunctioning.

Inspect the motherboard for any loose components and ensure that all components are in good condition and not damaged. If components are damaged, replace the damaged components.
Follow the Step-by-Step guide [here] to repair or replace damaged components
Check the Motherboard for proper cooling and ensure all gluing and soldering components are sealed correctly. And everything is connected correctly as well.

When a computer fails to turn on, it may be that the charging port, the USB-C in this case, may not be accepting power to charge the system.

Inspect the USB-C port and ensure no water or dust has entered the port. If water and dust have entered the port, use a can of compressed air to clean the port out for about 30 seconds to 1 Minute and then test.
Ensure that the USB-C port is not damaged. Try a different USB-C cable and check if the cable is the problem or if it's the port.
Ensure that the cable and the computer are compatible and ensure that the USB-C cable is delivering the appropriate amount of power for that computer.