Set your oven to 350 degrees F (175 degrees C) and lightly grease a 9x13 inch baking dish. This will ensure that the cake does not stick to the pan and bakes evenly.
Place the chopped carrots, eggs, and oil in a blender or food processor. Blend until the carrots are finely chopped. Pour the mixture into a mixing bowl.
Stir in 2 cups of sugar until well blended. Next, add in the flour and baking powder and mix until everything is well combined.
Pour the batter into the prepared baking dish and smooth out the top.Bake in the preheated oven for 40 minutes or until the top springs back when lightly touched.