Peanut Butter Chocolate Bars

• 2 cups all-purpose flour
• 1-1/2 teaspoons baking powder
• 1/4 teaspoon salt
• 1 cup (2 sticks) butter, at room temperature
• 3/4 cup sugar
• 3/4 cup less 2 tablespoons dark brown sugar, packed
• 1 cup peanut butter, creamy or chunky
• 3 eggs
• 1 teaspoon vanilla extract
• 1 11-ounce package semi-sweet chocolate chips (about 1-1/2 cups)