Preheat your oven to 350 degrees F (176 degrees C). Line an 8x8 pan with parchment paper so that it comes up 2 inches over each side of the pan.
Add your butter to a small saucepan over medium heat. Allow it to fully melt and lightly brown, stirring occasionally, for about 5 minutes. It will become lightly golden and fragrant.
In a small glass or ceramic bowl, add your chocolate chips and pour the hot butter over the chocolate. Let it sit for 5 minutes to allow the chocolate to fully melt.
While your chocolate is melting, in a medium mixing bowl add the flour, baking powder, salt and sugar. Stir with a fork or whisk to combine, making sure to break up any lumps. Add the eggs to the dry ingredients and mix until smooth. Mix in the vanilla.
Return to your chocolate and butter and gently stir until smooth and the butter and chocolate are fully mixed. Add the cocoa powder to the warm butter and melted chocolate mixture. Mix until no lumps appear. This will take a minute or two.
Add your chocolate mixture to the batter and stir until the batter is all one color and the chocolate is fully mixed in.
Pour the batter into your parchment-lined 8x8 baking dish and bake at 350 degrees F (176 degrees C) for 30-35 minutes, until the brownies are set (they will not jiggle when you jiggle the pan).
Remove from the oven and let cool at least 15 minutes before serving. For clean slices, allow to cool completely and remove the brownies from the pan. Place on a cutting board and slice with a large knife.
