Preheat your oven to 325°F (160°C). Line a 9-inch springform pan with parchment paper.
In a stand mixer, beat 4 large eggs on high speed until they double in size and become fluffy and pale in color (about 5–7 minutes).
Add the vanilla extract while mixing.
In a separate bowl, mix the flour and baking powder. Sift the mixture to ensure a smooth texture.
Gently fold the flour mixture into the whipped eggs in small batches, being careful not to deflate the batter.
Pour the batter into the prepared pan and smooth the top.
Tap the pan gently on the counter to release air bubbles.
Bake for about 30 minutes, or until the top is golden and a toothpick inserted in the center comes out clean.
Let the cake cool slightly before removing from the pan.