Preheat the oven to 350°F. Line three 8-inch cake pans with parchment paper and grease the sides.

Beat the butter and sugar until light and fluffy, about 2 minutes.

Add egg whites and vanilla extract, and beat until combined.

In a separate bowl, whisk together flour, baking soda, and baking powder.

Add dry ingredients to the wet mixture in three parts, alternating with milk, starting and ending with dry ingredients. Mix until just combined.

Divide batter evenly among pans and smooth the tops.

Bake for 30-33 minutes, or until a toothpick inserted in the center comes out clean.

Remove from oven and cool in pans for 5 minutes, then transfer to a wire rack to cool completely.

Frost and assemble the cake as desired.