Preheat the Oven: Preheat your oven to 350°F (175°C). Grease and flour a bundt cake pan or spray it with cooking spray.
Cream the Butter and Sugars: In a mixing bowl, cream together the softened butter, granulated sugar, and brown sugar using an electric mixer or stand mixer until light and fluffy, about 2-3 minutes.
Add Eggs and Vanilla: Add the eggs, one at a time, beating well after each addition. Stir in the vanilla extract.
Combine Dry Ingredients: In a separate bowl, sift together the all-purpose flour, baking powder, and salt.
Gradually Add Dry Ingredients: Gradually add the dry ingredients to the creamed mixture, mixing until just combined.
Fold in Pecans: Gently fold in the chopped pecans until evenly distributed throughout the batter.
Bake: Pour the batter into the prepared bundt cake pan and spread it evenly. Bake in the preheated oven for 50-60 minutes, or until a toothpick inserted into the center comes out clean.