Brown Butter Cake With Brown Butter Frosting Recipe

Name: Brown Butter Cake With Brown Butter Frosting Recipe
Ingredients: For the Cake:; 1 1/4 cups (3 sticks) unsalted butter; 1 1/3 cups plus 2 tablespoons granulated sugar; 5 large eggs, at room temperature; 2 cups plus 2 1/2 teaspoons (about 10 1/4 ounces) all-purpose flour; 1/2 teaspoon table salt; 2 1/2 teaspoons baking powder; 1/2 cup minus 2 teaspoons whole milk; 1 teaspoon vanilla extract; For the Frosting:; 1/4 cup (1/2 stick) unsalted butter; 1 cup powdered sugar; 5 teaspoons hot water; 2 drops of vanilla extract