Preheat the oven to 170°C (338°F).
Sift cake flour, matcha powder, and baking powder together.
In a mixing bowl, whisk together eggs and sugar.
Add milk and melted butter, mixing well.
Add the sifted dry ingredients and mix until combined.
Pour the batter into the cake pan.
Bake in the preheated oven for 25-30 minutes.
Let it cool, then cut into desired shapes.