Pre-heat oven to 190°C (375°F) and grease/line a small springform tin (mine is 7" / 18cm).
Beat the oil and sugar until airy and light.
Beat in the eggs one at a time until well incorporated.
Lastly, add the grated carrots and mix until combined.
Combine the flour, baking powder, nutmeg and cinnamon.
Add to the wet ingredients, mixing just until everything is evenly distributed.
Pour into the prepared pan and bake in the lower part of the oven for around 35-45 minutes, just until an inserted skewer comes out clean.
Remove from the oven and cool for a while before removing the sides, and turning out onto a wire rack to cool completely.