Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper to prevent sticking.
Scrub the sweet potato thoroughly and cut it into uniform wedges, then pat the chicken breast dry with a paper towel to ensure a good sear.
In a large mixing bowl, toss the sweet potato wedges with half of the olive oil, sea salt, black pepper, garlic powder, and smoked paprika.
Rub the remaining olive oil and the rest of the spice blend onto the chicken breast until it is evenly coated on all sides.
Arrange the seasoned sweet potato wedges and the chicken breast on the prepared baking sheet in a single layer, making sure they are not overlapping.
Roast in the center of the oven for 20 to 25 minutes, flipping the wedges halfway through, until the chicken reaches an internal temperature of 165°F and the potatoes are tender.
While the chicken and potatoes finish roasting, steam the broccoli florets in a steamer basket over boiling water for 4 to 5 minutes until they are bright green.
Allow the chicken to rest for 5 minutes before slicing it into strips and serving alongside the golden sweet potato wedges and steamed broccoli.