Heat oven to 350 degrees (180° Celsius). Grease an 8 inch cake pan.
In a medium bowl, using a hand mixer on medium speed, lightly beat eggs (approximately 30 seconds) add oil, sugar and yogurt beat for 1 minute until smooth, add flour and baking powder and beat until well combined approximately another minute. Pour into greased cake pan and bake 35- 40 minutes or until tested done (when toothpick or knife inserted in cake comes out clean). When cool, sprinkle with powdered sugar if desired.