Preheat your oven to 350°F (175°C) and lightly grease a cake pan to prevent sticking.
Grate the carrots finely using a grater, then set aside.
In a large mixing bowl, whisk together the eggs and sugar until the mixture becomes slightly frothy and pale in color.
Pour in the vegetable oil and continue whisking until the mixture is smooth and well combined.
In another bowl, sift together the flour, cinnamon, baking powder, and salt to ensure even distribution of the dry ingredients.
Gradually fold the dry mixture into the wet ingredients, stirring gently until just combined to keep the batter light.
Fold in the grated carrots, ensuring they are evenly distributed throughout the batter.
Pour the batter into your prepared cake pan, spreading it out evenly with a spatula for a smooth top.
Bake in the preheated oven for about 40 minutes, or until a toothpick inserted into the center comes out clean and the cake is golden.
Once baked, remove the cake from the oven and let it cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.
Slice the cooled cake and serve it as is, or with your favorite icing or topping.