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Preheat oven to 400 F and grease a 6-cup muffin tray.
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In a bowl, mix together the grated sweet potato, grated parmesan cheese, olive oil, garlic powder, and a few grinds of fresh salt and pepper.
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Evenly portion the sweet potato mixture into each of the 6 muffin cups. Press the mixture flat against the bottoms and sides of the cup, to form nests.
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Bake sweet potato nests for 15 minutes, until edges are golden brown and slightly crisped.
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Remove muffin tray from oven and crack one egg into each nest.
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Return muffin tray to oven and bake for another 10-12 minutes for a soft yolk, or 15 minutes for a hard yolk.
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To serve, run a knife around the sides of each muffin cup, and carefully lift each egg nest out of the tray. Garnish with a sprinkle of parsley and your favourite breakfast sides.