Preheat the oven to 350℉. Grease an 8x8 pan or line it with parchment paper and set it aside.
In a large bowl, whisk the eggs, sugar, pumpkin, vegetable oil and vanilla extract until smooth and combined.
Add the flour, baking powder, baking soda, pumpkin pie spice (if using), and salt and stir just until the dry ingredients are combined.
Spread the batter into the prepared pan.
Bake for 35-40 minutes until the top is golden brown and a toothpick inserted into the center comes out clean. Allow the cake to cool completely before frosting.