Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper.
Peel and dice the sweet potato and carrots into uniform 1-inch cubes to ensure they roast evenly.
In a small bowl, whisk together the extra virgin olive oil, ground turmeric, garlic powder, sea salt, and black pepper.
Place the chicken breast and diced vegetables in a large mixing bowl, then pour the oil mixture over them, tossing until every piece is well-coated.
Spread the chicken and vegetables in a single layer on the prepared baking sheet, ensuring they aren't overcrowded.
Strip the fresh rosemary and thyme from their stems and sprinkle the herbs evenly over the tray.
Roast for 20 to 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 maintain its moisture.