Preheat oven to 350 degrees F (175 degrees C). Grease a 9x13 inch pan.
In a large bowl, beat eggs until light. Combine the sugar, baking powder and 1/4 cup of flour so there will be no flour lumps. Stir the sugar mixture into the eggs. Finally, stir in the lemon juice. Pour over the prepared crust and return to the oven.
Bake for 30 minutes or until bars are set. Allow to cool completely before cutting into bars.