Preheat your oven to 400°F (200°C) and lightly grease a medium-sized baking dish with a small amount of olive oil.
Cut the chicken breast into uniform 1-inch bite-sized pieces to ensure even cooking.
Chop the broccoli into small florets, keeping them roughly the same size as the chicken pieces.
In a large mixing bowl, combine the chicken and broccoli florets.
Drizzle the extra virgin olive oil over the mixture and sprinkle with garlic powder, onion powder, sea salt, and black pepper.
Toss everything thoroughly until the chicken and vegetables are well-coated in the oil and spices.
Spread the mixture in a single layer in the prepared baking dish.
Bake for 18 to 20 minutes, or until the chicken is cooked through and the broccoli is tender with slightly crispy edges.
Remove the dish from the oven and sprinkle the shredded sharp cheddar cheese evenly over the top.
Return to the oven for an additional 2 to 3 minutes until the cheese is melted, bubbly, and golden.