Preheat the oven to 300°F (150°C) and line two large baking sheets with parchment paper.
Wash the kale thoroughly and dry completely using a salad spinner or paper towels; moisture will prevent the leaves from crisping.
Place the kale pieces in a large bowl and drizzle with olive oil, massaging the oil into the crevices of the leaves until lightly and evenly coated.
Sprinkle the garlic powder, sea salt, and nutritional yeast over the kale and toss to distribute seasonings.
Arrange the kale in a single layer on the prepared baking sheets, ensuring the pieces do not overlap.
Bake for 10 minutes, then remove from the oven.
Evenly sprinkle the shredded cheddar cheese over the kale leaves.
Return the sheets to the oven and bake for an additional 5 to 7 minutes, or until the kale is crisp and the cheese is melted and golden.
Let the chips cool on the baking sheet for 3 minutes to allow them to fully crisp before serving.