Preheat your oven to 400°F and line a large rimmed baking sheet with parchment paper for easy cleanup.
Peel and dice the sweet potato into small half-inch cubes, and chop the broccoli and bell pepper into bite-sized pieces.
Pat the chicken breast dry with a paper towel to ensure a better sear, then slice it into even one-inch strips.
In a large mixing bowl, combine the chicken, sweet potatoes, broccoli, and peppers with the olive oil and all the spices.
Toss the mixture thoroughly until every piece is well-coated in the oil and seasoning blend.
Spread the ingredients in a single layer on the baking sheet, making sure not to overcrowd the pan so the vegetables roast rather than steam.
Bake for 20 to 25 minutes, or until the chicken is cooked through and the sweet potatoes are tender with golden, caramelized edges.