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For the crust, mix the softened butter into the flour and powdered sugar with your hands (or a pastry blender) until it clings together. Press the mixture into a 13x9" greased pan.
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Bake at 350 degrees for 20 - 25 minutes or until lightly golden.
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For the filling, beat the eggs with a hand mixer for about 5 minutes until frothy. Add the sugar, lemon zest and lemon juice.
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In another bowl, sift together flour and baking powder. Stir into egg mixture. Pour over the baked, warm crust.
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Bake at 350 degrees for 25 minutes.
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Cool and sprinkle with powdered sugar. Done!