Preheat the oven to 350 F degrees.
In a medium bowl, sift the flour with the baking powder. Next you will separate the egg whites from the yolks. Add the yolks to a small bowl for adding later. Add the whites into a large mixing bowl or stand mixer.
4 Eggs, large (separate the whites from the yolks), ¾ cup All purpose Flour, unbleached, 1 teaspoon Baking Powder
Using a hand mixer or stand mixer on medium high, beat the egg whites to stiff peaks. Next, continuing to use the mixer on a low setting, add the 4 egg yolks and sugar, alternating 1 egg yolk and a ¼ of the sugar, then another yolk and ¼ of the sugar, and so on. For the last egg yolk and sugar addition, also add the vanilla extract.
4 Eggs, large (separate the whites from the yolks), ¾ cup Granulated White sugar, 1 teaspoon Vanilla extract
Once the cake batter is fully combined and smooth add the sifted flour and baking powder a little at a time, mixing each bit in as you go to ensure that the flour is incorporated smoothly without lumps.
¾ cup All purpose Flour, unbleached, 1 teaspoon Baking Powder
Finally, mix in the milk. Pour the batter into an oiled 9x9 (or similar sized) cake pan. Bake for 25-30 minutes until a toothpick inserted into the center comes out clean.
½ cup Coconut Milk, unsweetened