Preheat your oven to 350°F (175°C).
In a large mixing bowl, cream together the softened butter, brown sugar, and granulated sugar until light and fluffy.
Beat in the pumpkin puree and egg until well combined.
In another bowl, whisk together the flour, baking soda, baking powder, pumpkin pie spice, and salt.
Gradually add the dry ingredients to the wet mixture, stirring until just combined.
Drop tablespoon-sized balls of dough onto a lined baking sheet, spacing them about 2 inches apart.
Flatten each ball slightly with the back of a spoon.
Bake in the preheated oven for 12-15 minutes, or until the edges are lightly golden.
Remove from the oven and let cool on the baking sheet for 5 minutes before transferring to a wire rack.
Once cooled, dust the cookies with powdered sugar for a delightful finish.