Preheat the oven to 350ºF (180ºC). Line the bottom of an 8-inch round cake pan** with parchment paper. Grease and flour the insides.
In a small heat proof bowl, combine the raisins and apple juice, making sure the raisins are submerged. Heat in the microwave for 10-15 seconds until the raisins are plump and hydrated. Set aside to cool to room temperature, then drain the raisins.
In a medium-size bowl, whisk together the flour, baking powder, baking soda, salt, cinnamon, ginger and nutmeg until well combined.
In a large bowl, whisk together the brown sugar, granulated sugar, orange zest, oil, eggs and vanilla until smooth and well combined. Stir in the flour mixture just until combined. Fold in the carrots, apples, zucchini and the drained raisins.
Transfer the batter to the prepared cake pan. Bake until the top is deep golden brown and a toothpick inserted into the center of the cake comes out clean, about 28-35 minutes. Cool the cake in the pan for 10 minutes then turn the cake out and transfer it to a cooling rack.