Preheat your oven to 400°F (200°C) and line a large sheet pan with parchment paper for easy cleanup.
Place the diced bell peppers and chopped broccoli florets onto the sheet pan, then drizzle with extra virgin olive oil.
Sprinkle the sea salt, black pepper, and garlic powder over the vegetables and toss thoroughly to coat.
Spread the vegetables into a single layer and roast in the oven for 12 to 15 minutes until they are tender and slightly charred.
Remove the pan from the oven and use a spoon to create four small wells within the roasted vegetable mixture.
Carefully pour the liquid egg whites evenly into the four wells, then crack one whole egg into each well on top of the whites.
Sprinkle the crumbled feta cheese over the entire pan, focusing on the areas around the eggs.
Return the sheet pan to the oven and bake for an additional 6 to 8 minutes, or until the egg whites are fully set but the yolks remain slightly runny.
Remove from the oven and serve immediately, ensuring each serving includes one whole egg and a generous portion of the roasted vegetables.