What's the difference between "power" and "ability"?

What is the difference between the terms "power" and "ability" in general? I was just using comics-related context as an example.

Ability is something you do yourself. Power is something done by some other entity and you control it.

Trump. He had power but no ability.

Why does every topic have to turn into political whining? When you can't reply on topic you only expose yourself to insults.

One of Superman's powers is heat vision. He has the ability to use heat vision for various purposes.

The following 2-part videos shows an ability.
The second video is part 2 to the first video.

Part 1



Part 2

Anything is possible in cartoons and comic books.

I was trying to illustrate the difference between "power" and "ability" with that sentence.

If we're talking comics I'd say a power is something otherworldly, supernatural, not normal, abilities are something an ordinary person could get if they trained hard enough.

As examples Superman has lots of powers, but I don't know if he has any abilities while Batman has no powers but an awful lot of abilities.

I don't know how we'd categorise someone like Iron Man though.