Brown the butter in a small saucepan over medium heat, stirring occasionally. Once the butter turns a teddy bear brown color and smells nutty, remove from heat and refrigerate until solidified.
Preheat your oven to 350°F (175°C) and line several baking sheets with parchment paper.
Transfer the solidified brown butter to a mixing bowl, scraping all the flavorful particles with it. Using an electric mixer, beat with brown sugar until light and fluffy, about 5 minutes.
Reduce speed to low; add eggs, vanilla extract, baking powder, and salt. Gradually add flour until just combined.
Pour granulated sugar into a small bowl. Scoop the dough using a 1 1/2-tablespoon scoop, roll into balls, and then roll in sugar to coat.
Arrange dough balls two inches apart on prepared sheets and flatten into 1/2-inch disks using the bottom of a glass.
Bake for 8-10 minutes until edges are golden but centers appear slightly underbaked.
Allow to cool on the baking sheets.
Notes:
Opt for light brown sugar for a milder sweetness or dark brown sugar for a richer flavor.
Store cookies in an airtight container at room temperature for up to 2 weeks.