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Step 1
Preheat the oven to 350 degrees Fahrenheit and grease a 9x13-inch baking pan with butter or cooking spray.
Step 2
In a medium bowl, whisk the flour and baking powder until combined. Set aside.
Step 3
In a stand mixer, whisk the eggs for 3-5 minutes on medium-high speed until pale, thick, and fluffy.
Step 4
While the eggs whip, place the butter and milk into a small saucepan over medium-low heat. Warm until the butter melts and bubbles appear around the edge. Do not boil.
Step 5
When the eggs are thick, gradually add the sugar and the vanilla while they continue to whisk.
Step 6
Slowly add the dry ingredients to the egg and sugar mixture, whipping on medium until well blended and smooth.
Step 7
Turn the mixer to medium-low, then carefully stream the hot milk and butter into the batter. Mix until just combined.
Step 8
Pour the cake batter into the baking pan and bake for 30-35 minutes or until a toothpick inserted into the center comes out clean.
Step 9
Let the cake cool in the pan for 10-15 minutes. Then, turn it onto a wire rack to cool fully.
Step 10
Serve and enjoy!