01 - Preheat the oven to 350°F. Grease an 8-inch round cake pan and line the bottom with parchment paper to prevent sticking.
02 - In a medium bowl, sift together the flour, matcha powder, baking powder, and salt to aerate the mixture and remove lumps.
03 - In a large mixing bowl, beat the butter and sugar together with an electric mixer on medium speed until the mixture is pale and fluffy, approximately 3 minutes.
04 - Add the eggs one at a time, beating thoroughly after each addition. Stir in the vanilla extract until combined.
05 - Add half of the dry ingredient mixture to the wet ingredients and mix on low speed just until incorporated. Pour in the milk and mix gently. Add the remaining dry ingredients and mix until the batter is smooth.
06 - Pour the batter into the prepared pan and smooth the surface with a spatula. Bake for 28 to 32 minutes, or until a toothpick inserted into the center comes out clean.
07 - Allow the cake to cool in the pan for 10 minutes before transferring it to a wire rack to cool completely. Dust with the powdered sugar and matcha mixture before serving.