Preheat your oven to 350°F (175°C) and prepare your baking pan.
In a large mixing bowl, cream together the softened butter and granulated sugar until light and fluffy.
Add the eggs one at a time, ensuring each is incorporated before adding the next.
In a separate bowl, whisk together the flour, baking powder, cinnamon, and nutmeg.
Gradually add the dry ingredients to the wet mixture, alternating with the milk, and mix until just combined.
Fold in the chopped apples, making sure they are evenly distributed.
Pour the batter into the prepared baking pan and smooth the top.
Bake in the preheated oven for 45-50 minutes or until a toothpick comes out clean.
Allow the cake to cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.
Dust with powdered sugar before serving, if desired.