Finely grate the carrots and set aside.
In a bowl, add the eggs and sugar and mix well.
Add olive oil and vanilla extract, and mix together.
Sift strong flour, baking powder, and salt into the bowl and make the batter.
Add the grated carrots and mix evenly.
Pour the batter into a pound cake pan and smooth it out.
Bake in a preheated oven at 180°C (356°F) for 35 minutes.