In a medium size mixing bowl combine shrimp, salt and pepper; stir. In another medium size mixing bowl stir together eggs, flour and baking powder. Place a pound of shrimp into the batter, and stir to coat.
Remove basket from fryer and heat oil to 350°F. Carefully slide one shrimp at a time into the preheated oil. Fry 8 shrimp at a time, turning once, for 2 to 3 minutes, or until golden brown. Use a wooden slotted spoon or tongs to remove shrimp and place on paper towels to drain.