Chosen Solution

I have an iPod touch 4th generation that does not turn on, and the screen will will turn white for as long as I hold down the power button, then go dark again, wondering if there is any easy way to fix it, or if it requires board repair.

Check that you have firm cable connections. Remove any debris from all ports. Try a different charging cable, power adapter, and power source. Don’t use an adapter or cable that shows any sign of damage. Regards, Will

It’s old now, try turning it on with the charger connected. If not, try a new battery.