Add cubed sweet potatoes and chopped broccoli to a medium bowl with oil, garlic powder, salt, pepper, and dried herbs. Toss to coat vegetables evenly.
Spread the cubed sweet potato and chopped broccoli on two nonstick baking sheets (or use parchment paper on baking sheets.)
Roast in the oven on the middle and bottom racks for 24-30 minutes or until potatoes are fork tender and broccoli is tender-crisp. Switch the location of the racks halfway through the cook time, and toss vegetables. Please note that you need to keep a close eye on your veggies, as oven temperatures can vary.
Notes
It is important to cut your sweet potatoes into small pieces to ensure they complete cooking on time. I recommend 1/2" pieces.