Add the eggs in one at a time, beating well after each addition.
Add the vanilla extract and blend it into the mixture
In a separate bowl, sift together the flour, baking powder, cinnamon, and baking soda.
Slowly beat the dry ingredients and grated zucchini into the bowl containing the wet ingredients. Alternate between portions of the dry ingredients and grated zucchini. The batter may still be a little thin at this time, and that is okay.