Dice the sweet potato into small, uniform cubes to ensure even cooking.
Heat the olive oil in a large non-stick skillet over medium heat and add the sweet potato cubes.
Cook the potatoes for 8-10 minutes, stirring occasionally, until they are golden brown and tender.
Stir in the rinsed black beans, sea salt, black pepper, garlic powder, and smoked paprika.
Add the chopped kale to the skillet and sauté for 2-3 minutes until the leaves are bright green and slightly wilted.
Use a spoon to create three small wells in the hash and crack one egg into each well.
Cover the skillet with a lid and cook for 3-5 minutes until the egg whites are set but the yolks remain runny.
Transfer the hash to a plate, top with a dollop of Greek yogurt, and sprinkle with nutritional yeast before serving.