Well, unless the router is off, you can log into your router using the IP addy. Then from the control panel you can reboot the router from there.
How does cycling the router on and off solve anything though? That flushes out the malware?
I'm pretty confident the average person doesn't know how to update their router's software. For starter's, a router's software isn't even called software. It's called Firmware.
So the average person is going think, "Well that's a fine howdy doody! What's a firmware?"