Finely chop the apple and carrot.
In a bowl, mix the eggs, olive oil, and sugar together.
Add the flour, baking powder, and cinnamon powder, and mix well.
Add the apple, carrot, and nuts to the batter and mix.
Pour the batter into a pan and spread it evenly.
Bake in a preheated oven at 180°C for 30 minutes.