Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper for easy cleanup.
Peel the sweet potato and dice into 1-inch cubes, then slice the carrots into half-inch thick rounds.
Place the chicken breast, diced sweet potatoes, and sliced carrots onto the prepared baking sheet.
Drizzle the olive oil over the chicken and vegetables, then sprinkle evenly with dried rosemary, dried thyme, garlic powder, sea salt, and black pepper.
Toss the vegetables and rub the chicken breast thoroughly to ensure every piece is well-coated with the oil and herb mixture.
Spread the ingredients into a single layer, ensuring the chicken is not covered by vegetables to allow the skin-side to crisp up.
Roast in the center of the oven for 20-25 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are fork-tender.
Remove from the oven and let the chicken rest for 5 minutes before slicing to keep it juicy, then serve alongside the roasted root vegetables.