Preheat oven to 350 degrees Fahrenheit.

In a large bowl, combine sugar, melted butter, and vanilla extract.

Add the eggs, incorporating one at a time.

Incorporate the flour, cocoa powder, baking powder, and salt into the wet ingredients.

Mix all ingredients until well combined, ensuring a smooth batter.

Grease a 9x13 inch baking pan or an 8x8 inch pan for thicker brownies.

Pour the brownie batter into the prepared pan.

Bake in the preheated oven for 30 minutes, or until a toothpick inserted into the center comes out with moist crumbs.

Keep a close eye on the brownies, as cooking times may vary depending on your oven.

Remove from oven and let cool completely before cutting into squares and serving.