Dangerous radiation refers to particles or high energy photons that can cause ionization. That's when an atom acquires a charge by gaining or losing electrons.
BOHR model user for simplicity.
When ionization occurs in a living cell, it can alter how the cellular machinery works.
That's how radiation gives you superpowers!
I suppose from an individual cell's point of view, cancer is a superpower.
Then forget it. I don't want my cells to have powers if they're going to be super villains.