Peel and dice sweet potatoes into 1/2 inch cubes.
Heat large skillet over medium heat with 3 Tbsp olive oil until shimmering.
Add sweet potatoes in single layer, season with salt and pepper, and let brown undisturbed for 3-4 minutes.
Stir and continue cooking 12-15 minutes until tender and caramelized, then remove to a plate.
Add remaining 1 1/2 Tbsp olive oil to skillet and brown sausage, breaking it up as it cooks.
Add onion, bell pepper, and sage, cooking 4-5 minutes until onion softens.
Stir in garlic, garlic powder, onion powder, and smoked paprika.
Add butter and cook 1 minute until fragrant.
Return sweet potatoes to skillet and fold together, heating through 2-3 minutes.
Taste and adjust salt and pepper.
Drizzle with maple syrup and garnish with green onions.
Fry eggs and serve on top of hash.