Check your fuses
Short
Check your fuse. Usually the manufacturer has the dash lights and the tail lights on the same circuit.
water in the wiring or a low battery
in the bumper xx
Check fuse for tail/parking/dash lights
the dash and radio lights are supposed to dim when the headlights come on. Make sure you have the brightness of the dash lights turned up as much as possible.
number 9 fuse under dash
You need a scan tool.
check the fuse for dash lights
blown fuse blown fuse
Should be separate circuits for the dash lights and the radio. Look for loose/corroded connections on both power and ground wires. I would also check the dash light dimmer control switch. Verify you have power and ground at the radio. When the dash lights go out, verify power at the dash light fuse. It is going to take some detective work to locate the source of the problem.
Very carefully!