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Preheat oven to 375 degrees.
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Combine sugars, butter, peanut butter, vanilla and egg in a large bowl and beat well.
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Stir together flour, baking powder, baking soda and salt in another bowl. Then add to the flour mixture into the wet mixture and mix well.
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Chill the dough for at least one hour.
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Using 1/4 cup measure, scoop up dough and shape into a ball. Press down slightly and place on an ungreased cookie sheet spacing 4 inches apart.
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Bake in a for 13-16 minutes. Remove from cookie sheet and cool completely on wire rack.
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If smaller cookies are desired, use a tablespoon, spread them 2 inches apart and bake for 10 minutes.