Based on your comments on the status LED, most likely, the power supply in the base station has failed.
Ref: [https://support.apple.com/en-us/HT202211|AirPort base stations: About AirPort base station status lights (LED)]
One possible means to try to revive it would be to perform a [https://support.apple.com/en-us/HT201945|"factory default" reset] on the base station. You may need to try this a few times. If this fails to solve the issue, you will need to replace your base station.