1. Preheat your oven to 350°F (175°C). Grease a 9×5-inch loaf pan and line it with parchment paper, leaving some overhang on the sides for easy removal.

2. In a medium bowl, whisk together the flour, baking powder, and salt. Set aside.

3. In a large bowl, beat the softened butter and sugar together until light and fluffy, about 3-5 minutes.

4. Add the eggs one at a time, beating well after each addition. Then stir in the matcha powder and vanilla extract until well combined.

5. Gradually fold in the dry ingredients until just combined, being careful not to overmix.

6. Pour the batter into the prepared loaf pan and smooth the top.

7. Bake for 55-65 minutes, or until a toothpick inserted into the center comes out clean.

8. Allow the cake to cool in the pan for 10 minutes, then use the parchment paper to lift it out and transfer it to a wire rack to cool completely.

9. Once cooled, dust the top of the cake with powdered sugar, if desired. Slice and serve.