Preheat the oven to 350°F
To make the brown butter, heat 1/2 stick of butter in a saucepan over medium heat until it turns a light amber color. This should take between 5-6 minutes
Once browned, take the butter off the heat and place it into the fridge or freezer to cool and harden. The goal is for the butter to become almost completely re-solid, similar to the consistency of softened butter
While the butter is cooling, whisk together the dry ingredients. In a large mixing bowl, combine the flour, baking powder, and baking soda
In a separate mixing bowl or stand mixer, combine the brown sugar, white sugar, eggs, vanilla, peanut butter, and browned butter. Whisk or mix until thoroughly combined. The mixture should be light and fluffy
Add the dry ingredients and chocolate chips to the mixture and mix until just combined
Form the dough into 12 equal balls and place on a parchment lined cookie sheet. Flatten the dough balls with a fork to form the classic "criss cross" shape on the top of each cookie. These cookies won't flatten much in the oven so make sure each cookie is about 1" thick
Bake for 13 minutes. Leave on the baking sheet for 2-3 minutes until completely cooled