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, then chop the broccoli into bite-sized florets and slice the bell pepper into strips.
Place the sweet potato cubes on the baking sheet, toss with 0.25 tbsp of olive oil and a pinch of sea salt, and roast for 10 minutes.
While the potatoes roast, pat the chicken breast dry and rub it evenly with 0.25 tbsp of olive oil, smoked paprika, garlic powder, sea salt, and black pepper.
Remove the sheet pan from the oven, slide the potatoes to one side, and place the chicken breast in the center.
Add the broccoli and bell peppers to the remaining open space on the pan, drizzling them with the final 0.25 tbsp of olive oil.
Return the pan to the oven and bake for 15-20 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are tender.
Allow the chicken to rest for 5 minutes before slicing to keep it juicy, then serve alongside the roasted vegetables.