That's how anarchy has been portrayed by propaganda media since time immemorial because it scares those in power.

Anarchy means without hierarchy. That's it. Rules can still be agreed upon. It just means there isn't one person, or group of elites, setting and enforcing the rules, but that they're agreed upon by consensus.

Just like hierarchical systems, there are many different variations of anarchy. Very few, if any, serious forms call for chaos and everything goes.

Why? Because it would just lead straight back to Might is Right. "I'm bigger, stronger, more powerful than you, so I'll make you do as I wish" isn't a part of anarchist theory.

Anarchism, despite seeming a simple concept on paper, is a difficult and complicated idea. Not because of the core principles but because humans and human behaviour are weird and hypocritical at times.