Preheat the oven to 350°F (175°C). Grease a baking pan.
In a mixing bowl, whisk together the pumpkin puree, sugar, and vegetable oil.
Add the eggs one at a time, beating well after each addition.
In another bowl, combine the flour, baking powder, baking soda, cinnamon, nutmeg, and salt.
Gradually add the dry ingredients to the wet ingredients, mixing until just combined.
Pour the batter into the prepared baking pan.
Bake for 45 minutes or until a toothpick inserted into the center comes out clean.
Let the cake cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.