Preheat oven to 400°F (200°C) and line two large baking sheets with parchment paper.
In a large bowl, toss the cubed sweet potatoes with 1 tablespoon of olive oil, salt, and pepper. Spread on one half of the first baking sheet.
On the other half of the sheet, add the broccoli florets and toss with 1/2 tablespoon of olive oil.
On the second baking sheet, toss the cubed chicken with remaining olive oil, garlic powder, onion powder, and smoked paprika.
Place both sheets in the oven. Roast the sweet potatoes and broccoli for 20-25 minutes until tender. Roast the chicken for 15-18 minutes until the internal temperature reaches 165°F (74°C).
Remove chicken from the oven and toss thoroughly with BBQ sauce.
To assemble, divide the roasted sweet potatoes, broccoli, black beans, and BBQ chicken evenly among four airtight meal prep containers.
Allow the meals to cool slightly before sealing and refrigerating for up to 4 days.