Preheat the oven to 180°C.
Sift together the flour, cocoa powder, and baking powder and mix well.
Cream together the sugar and butter in a food processor.
Add the eggs one at a time, mixing well after each addition.
Add the milk and vanilla extract and mix to combine.
Add the dry ingredients and finish the batter.
Pour the batter into the pan.
Bake in the oven for 30 minutes.
Let cool and cut into desired sizes.