01 - Preheat oven to 350°F. Grease and line an 8-inch round cake pan with parchment paper.
02 - Sift together flour, matcha powder, baking powder, and salt in a medium bowl. Set aside.
03 - Whisk eggs and sugar in a large bowl until pale and fluffy, about 2–3 minutes.
04 - Add melted butter and vanilla extract to the egg mixture and mix well.
05 - Alternately add dry ingredients and milk to the wet mixture, starting and ending with dry ingredients. Mix just until combined.
06 - Pour batter into the prepared pan and smooth the top.
07 - Bake for 30–35 minutes, or until a toothpick inserted into the center comes out clean.
08 - Let cool in the pan for 10 minutes, then transfer to a wire rack to cool completely. Dust with powdered sugar and serve.