Preheat your oven to 350°F (175°C). Grease and flour a loaf pan.
In a large bowl, sift together the flour, sugar, baking powder, and salt.
In a separate bowl, cream together the softened butter and sugar until light and fluffy.
Beat in the eggs one at a time, then mix in the vanilla extract.
Gradually add the dry ingredients to the butter mixture, alternating with the coconut milk. Begin and end with the dry ingredients. Mix until just combined.
Pour the batter into the prepared loaf pan and smooth the top.
Bake in the preheated oven for about 60 minutes, or until a toothpick inserted into the center comes out clean.
Allow the fa'apapa to cool in the pan for about 10 minutes, then transfer to a wire rack to cool completely before slicing.
Enjoy your meal!