Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper for easy cleanup.
Peel and dice the sweet potato into 1/2-inch cubes, and slice the carrots into thin rounds.
In a small bowl, whisk together the extra virgin olive oil, lemon juice, dried oregano, garlic powder, sea salt, and black pepper.
Place the chicken breast on one side of the baking sheet and arrange the sweet potatoes, broccoli, and carrots on the other side, ensuring they are not crowded.
Drizzle the lemon-herb oil mixture over both the chicken and the vegetables, tossing the vegetables to ensure they are evenly coated.
Roast in the oven for 20-25 minutes, or until the chicken reaches an internal temperature of 165°F and the sweet potatoes are fork-tender.
For an extra crispy finish, turn the broiler on for the last 2 minutes, watching closely to prevent burning.
Let the chicken rest for 5 minutes before slicing to keep it juicy, then serve alongside the roasted vegetables.