Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Scrub the sweet potato and cut it into even wedges, then slice the chicken breast into 1-inch thick strips.
Place the wedges and chicken strips on the baking sheet, drizzle with olive oil, and sprinkle with smoked paprika, garlic powder, sea salt, and black pepper.
Toss everything together until well-coated and spread into a single layer, ensuring the wedges have space to crisp up.
Roast for 22-25 minutes, flipping the wedges halfway through, until the chicken is opaque and the potatoes are golden and tender.
While the pan is roasting, steam the broccoli florets for 4-5 minutes until they are vibrant green and tender-crisp.
Divide the roasted chicken and sweet potato wedges onto a plate and serve alongside the steamed broccoli.