Blend carrot mixture:
In a blender, combine carrots, eggs, oil, and sugar; blend until smooth.Mix in sifted flour:
Transfer to a bowl and add sifted flour, mixing gently.Add baking powder:
Add baking powder and stir lightly just until incorporated.Fill cupcake liners:
Divide batter among 12 cupcake liners, filling each 2/3 full.Bake until golden:
Bake in a preheated 350°F (175°C) oven for 25-30 minutes, until golden and fluffy.Cool and dust:
Let cool, then serve plain or dusted with confectioners' sugar.