Preheat oven to 350 degrees F. Grease 9×13 pan.
Add flour and baking powder to a small bowl, stir, set aside.
Using an electric mixer, beat butter and sugar until light and fluffy.
To the cream mixture, add eggs one at a time, incorporating well before adding each egg; beat in vanilla extract.
Slowly add the flour and baking soda to the cream mixture, 2 tablespoons at a time, until thoroughly combined.
Pour batter into prepared pan.
Bake at 350 degrees F for 22-28 minutes.
Remove cake from oven and poke several holes throughout using a fork or skewer. Allow cake to cool completely.
In a small mixing bowl stir together the whole, condensed, and evaporated milks. Pour over the top of the cooled cake and place in the refrigerator.