The keypad does have a battery.
It is glued to the side of your RV. If you don't want to rip it off, wait until it is dark and see if you can see the lights behind the buttons. When you type in the code, if you type it in correctly all the lights will immediately go off after you hit the "lock" or "unlock" button. What happens next is the door lock should get actuated. If your keypad has power, and you typed in the code correctly, but your door lock doesn't actuate, you've got a wiring/power problem to the door actuator.
Call the vendor. That's how I found all this out. It looks like you have a Southco EA-R03. Southco - Latches, Hinges, Fasteners, Engineered Access Hardware
. Give them a call.
On the other hand, you can rip it off and take it inside to see it. That's what I ended up doing because I wanted to get the problem resolved during the day. It's quite bright in Denver.