Preheat the oven to 350 degrees F. Thoroughly grease a bundt pan or 9" round baking pan.
In the bowl of an electric mixer, beat together the eggs, granulated sugar and orange zest for 5-7 minutes until the mixture is pale yellow and thickened.
Add the olive oil slowly while the mixer is on, allowing the oil to become emulsified into the mixture.
Add the orange juice. Mix well to combine.
In a separate bowl combine the flour, baking powder and salt and whisk until combined.
Add the flour mixture to the mixer and mix until just combined. Add the milk and the brandy and be sure to scrape down the bowl to be sure everything is thoughly ncorporated.
Pour the batter into the prepared bunt pan and bake in the center of the oven for 35 to 40 minutes, or until a toothpick inserted into the center of the cake comes out clean.
Once the cake is baked, allow it to cool in the pan for 15 minutes on a wire rack. Remove onto a place for serving.
Sprinkle the cake with powdered sugar through a mesh sieve to garnish.