There's quite a few ways to do this, depending on the effect you want to achieve. And that's basically what you need to think of first: the effect you want on the audience.
Is the action scene supposed to pump your audience up? Maybe make them think about the thematic meaning of the conflict? Maybe just be a bit of exciting popcorn chewing fare?
Regardless of how you do it, it should be in service of the story. I spent a long time writing early action scenes as the MC faced the unknown tense and unsure of herself, but once she became experienced, the action scenes became quick and over in just a few paragraphs. It showed her progression as a fighter. The last one I had was literally over before the audience realized it because it was so fast.
If you write action scenes to only be exciting, then you're doing it wrong. You want your audience to be invested in the scene, rather than merely entertained by it. To be invested, the audience needs to want something other than simply "kick this guy's ass", and the easiest way to do that is to establish a form of conflict beyond the overt.
Simply put, include subtext, biased descriptions, and anything else to suggest, or even outright say what it is the characters are fighting over, whether it's literally or metaphorically.
Anime loves to do this by actually having the characters form a philosophical debate while the fight's going on, but that's a bit too on the nose and it's more to give both the thinkers and non-thinkers something to be entertained by while also being economical with runtime.
But the conflict doesn't have to be between two characters, it could be entirely internal with the MC. Things like "I don't want to kill anyone but am forced to fight" or "why am I really here?" or even whatever current issue the character is having. It doesn't even have to be directly related to the fight, like they're fighting a bear to feed their family with it's meat, but the character hates their family and is trying to decide if they should just run away from everything or not.
If the fight doesn't serve to be the physical manifestation of the characters' conflict, then it at least needs to serve the plot and show something more than just "action scene #67415". Contrived reasons is a terrible way to start a fight, unless if it's a comedy and the fight itself is the joke. If the fight scene is just something that happens because it needs to, then just keep it short.
Now, I've been concentrating entirely on fight scenes, but fight scenes are what most people think when they think action, and the only possible difference is people vs people compared to people vs environment. They're written the same way.
As to the wording and whatnot, it entirely comes down to your style. Short punchy sentences vs long-form paragraphs? What have you been doing up to then in that story? Stick to it, or swap if you're trying to make a jarring feeling within your audience.
If you're normally long-form and you change to short sentences in the action scene, it makes it feel much more sudden and chaotic. If you're normally short sentences and to the point, but go to long-form and descriptive, then it feels more weighty.
Hope that helps and doesn't feel too much like verbal diarrhea.