Preheat oven to 400 degrees F (205 degrees C). Coat a baking sheet with a nonstick spray.
In a bag, mix together flour, 1/2 teaspoon garlic powder, 1/2 teaspoon cayenne pepper, and 1/4 teaspoon salt. On a plate, mix the bread crumbs with the rest of the garlic powder, cayenne pepper, and salt.
Shake the chicken pieces with the seasoned flour. Beat egg whites with 1 tablespoon water, and place egg mixture in a shallow dish or bowl. Dip seasoned chicken in egg mixture, then roll in the seasoned bread crumb mixture. Place on prepared baking sheet.
Bake for about 8 minutes in the preheated oven. Use tongs to turn pieces over. Bake 8 minutes longer, or until chicken juices run clear.