(7**3 + 9*7) / 2
might be rendered: 7 3 ** 9 7 * + 2 /
That is, "Take 7 and 3 and exponentiate, take 9 and 7 and multiply, then add the two numbers, take the answer and 2 and divide." Parentheses or extra spacing could easily be used to increase readability (though parentheses are never required in RPN; they're purely aesthetic), if that's too much to swallow: (((7 3 **) (9 7 *) +) 2 /)
...But really it's just a matter of what you're used to.
I can't watch the video at the moment but I imagine the paper goes much farther in-depth with the internals of this AI.