Preheat oven to 350°.
Lightly spoon flour into dry measuring cups; level with a knife. Combine flour, ginger, cinnamon, and baking soda, stirring with a whisk.
Combine granulated sugar and next 4 ingredients (granulated sugar through egg) in a large bowl, stirring with a whisk. Stir in flour mixture. Pour batter into a 9-inch square baking pan coated with cooking spray.
Bake at 350° for 25 minutes or until a wooden pick inserted in center comes out clean. Cool in pan on a wire rack. Sprinkle gingerbread with powdered sugar.