Preheat the oven to 425°F (220°C). Set a wire rack inside a rimmed baking sheet.
Trim off the tops and tips of the carrots. Cut them into thin sticks, about 1/2-inch (12 mm) wide and 4 inches (10 cm) long.
In a covered steamer basket set over a pan of simmering water, or in the microwave in a covered microwave-safe dish with 2 tablespoons of water, steam the carrots until just tender, 4 to 5 minutes. Pat the carrots completely dry.
In a large bowl, toss the carrots in the olive oil. In a second large bowl, whisk the flour, garlic and onion powders, paprika, and salt together. Add the carrots and toss to coat.
Arrange the carrots in a single layer on the wire rack, taking care to make sure they are not touching each other. Roast until the carrots are crispy, about 30 minutes.