Once cooled, transfer the browned butter mixture to a medium bowl. You may have to break up the mixture if it has hardened.
Add the eggs and vanilla and stir with a spatula until combined.
In a medium bowl, combine your flour, baking powder and salt and whisk until combined.
Add your flour mixture to the batter and stir until just combined.
Fold in the white chocolate chips until evenly distributed.
Pour batter into your 8x8 or 9x9 pan and bake for 20-25 minutes or until the top is slightly cracked, edges are set, and a toothpick comes out fairly clean.
Let cool completely before cutting. Since these are extra gooey and delicious, you have to cool or chill these completely before cutting, or you could end up with a runny mess.
I melted some white chocolate and drizzled it over the top of each bar before serving.