Preheat your oven to 400°F and line a large rimmed baking sheet with parchment paper.
Peel and cube the sweet potato into half-inch pieces and slice the carrots into rounds.
In a large bowl, toss the sweet potatoes, carrots, and broccoli florets with half of the olive oil, sea salt, and black pepper.
Spread the vegetables in a single layer on the prepared baking sheet, leaving a space in the center for the chicken.
Rub the chicken breast with the remaining olive oil, dried rosemary, thyme, and garlic powder until thoroughly coated.
Place the chicken in the center of the baking sheet and roast for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F.
Remove from the oven and let the chicken rest for 5 minutes before slicing to ensure the juices redistribute.
Plate the sliced chicken alongside the roasted vegetables and serve immediately.