Preheat your oven to 350°F (175°C).
Melt the butter in a microwave-safe bowl.
Stir in sugar, eggs, and vanilla extract into the melted butter.
In a separate bowl, mix together cocoa powder, flour, salt, and baking powder. Then, combine this with the butter mixture.
Pour the brownie batter into a greased baking dish.
Bake for 20-25 minutes, or until a toothpick comes out mostly clean when inserted.
Let the brownie cool slightly, then cut into squares.
Serve each brownie warm, topped with a scoop of vanilla ice cream.