Heat the oven to 425°F. Line a large rimmed sheet pan with parchment paper.
In a small bowl, stir together the chili powder, cumin, smoked paprika, garlic powder and salt.
Add the chicken, bell peppers and onion to the pan. Drizzle with olive oil, sprinkle with the spice mix and toss until everything is evenly coated. Spread in a single layer.
Roast for 18 to 20 minutes, stirring once halfway through, until the chicken reaches 165°F in the thickest piece and the peppers are tender with browned edges.
Squeeze the juice of half the lime over the pan and toss. Fill the warm tortillas with the chicken and peppers and serve with lime wedges.