Preheat your oven to 350 degrees F. Line a large, rimmed baking sheet with foil (to save you some serious cleanup later as the honey caramelizes) and grease the foil well.
Arrange the drumsticks in the pan. Whisk together the melted butter, honey, mustard, salt, black pepper, and garlic powder. Evenly pour the mixture over the chicken, brushing all over to coat.
Bake, basting with a clean pastry brush every 15 minutes, until the chicken is browned and cooked through and the juices run clear. In my old oven, it took a total of 75 minutes. In the new one, which I believe is more accurate, it takes 60 minutes.
Video
Notes
Basting the chicken is important. Not just to help keep it juicy, but also because the sauce tends to stick to the bottom of the pan, so mixing it up every 15 minutes prevents it from burning.If the tops are getting too dark before the chicken is done, loosely cover the pan with foil and keep baking. Sometimes, just a few of them are browning too fast - if this happens, I move those to one side of the pan and cover just them with foil.