Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Peel and dice the sweet potato into 1/2-inch cubes, and chop the red bell pepper into bite-sized pieces.
In a small bowl, whisk together the olive oil, turmeric, thyme, garlic powder, sea salt, and black pepper to create the golden herb rub.
Place the chicken breast on one side of the baking sheet and brush both sides generously with half of the herb oil mixture.
Toss the sweet potato cubes, broccoli florets, and bell peppers in the remaining herb oil until evenly coated, then spread them in a single layer on the other side of the baking sheet.
Roast for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F and the sweet potatoes are fork-tender.
Let the chicken rest for 5 minutes before slicing to keep it juicy, then serve alongside the roasted vegetables.