RAX45. after power outage all lights on router and computer recognizes router but no internet

As this is a router, there is probably a modem sitting in front of it.

Power cuts usually take out both the modem and the router on a network. When the power comes back on, they may start up in the wrong order, with the router starting before the modem is ready. That means that they get confused about which is in charge.

It may help to reboot the whole network in the right order.

Be sure to restart your network in this sequence:

• Turn off and unplug modem.
• Turn off router and computers.
• Plug in and turn on modem. Wait 2 minutes for it to connect.
• Turn on the router and wait 2 minutes for it to connect.
• Turn on computers and rest of network.