Preheat oven to 180°C (350°F). Grease a small cake pan.

In a bowl, mix flour, baking powder, cinnamon, and salt.

In another bowl, beat egg and sugar until light. Add oil and mix.

Stir in grated carrots.

Add dry ingredients to wet ingredients and mix until just combined.

Pour batter into the pan. Bake for 25–30 minutes, or until a toothpick comes out clean.

For the icing, beat cream cheese and butter until smooth.

Add powdered sugar and vanilla extract. Mix until creamy.

Once the cake is cool, spread the icing evenly on top.