Preheat the oven to 400 degrees. Line a large baking sheet with parchment paper. Place the beans, broccoli, and potatoes on the baking sheet. Drizzle with olive oil and season with garlic powder, salt, and pepper. Toss very well to combine thoroughly.
Transfer the baking sheet to the oven and bake for 30 minutes, shaking the pan every 10 minutes. Around 25 minutes, check to make sure the broccoli isn’t burning.
Serve as a side dish or as a bowl meal, perhaps with a fried egg.