In a medium bowl, combine the soy sauce, sesame oil, garlic powder, and ground ginger. Add the steak pieces and marinate for at least 30 minutes in the refrigerator.
Heat the vegetable oil in a large skillet or wok over medium-high heat.
Once the oil is hot, add the marinated steak to the skillet. Cook for about 4-5 minutes, stirring frequently, until the steak is browned and cooked to your desired doneness. Remove the steak from the skillet and set aside.
In the same skillet, add the butter and let it melt. Add the broccoli, bell peppers, and zucchini. Stir-fry the vegetables for about 5-7 minutes, or until they are tender but still crisp.
Return the cooked steak to the skillet with the vegetables. Stir everything together and season with salt and pepper to taste. Cook for an additional 2 minutes to heat through.
Serve the hibachi steak and vegetables over cooked rice or noodles.