You know he DOES have power ups, right? Like, even when he didn't have power ups ( in the 3d games usually ) he was still able to outsmart him and find a way to beat him. And considering this movie seemingly has multiple worlds/kingdoms ( The Mushroom Kingdom, the Ice Kingdom, and Bowser's ) it's probably gonna be a mix of Mario 3 and some other games. Mario 3 having: The Tanuki Suit ( can turn into a statue and smash people's head in LOL ), the Hammer Suit ( bash people with hammers and deflect fire balls, in game you only needed like 7 hammers to kill off bowser, compared to fireballs which took around 30 ), the Frog Suit, which isn't really useful for combat but great for water levels, and the Whistle which summons a Tornado that takes you to other worlds of your choice.