Preheat the oven to 350°F. Grease a 9'' x 13'' pan.
Cream the butter or margarine and brown sugar together. Add the eggs and vanilla and mix until combined. Reduce the mixer speed to low and add the flour, baking powder, and salt. Mix until the batter is smooth. Stir in the apples and nuts with a spatula.
Bake for 30 minutes, or until the brownies are light brown in color. Allow the brownies to cool and then dust with powdered sugar before serving.
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