Preheat the oven to 350°F (175°C).
In a bowl, mix shredded chicken, diced green chilies, garlic powder, onion powder, salt, and pepper.
In another bowl, combine sour cream and cream of chicken soup.
Spread a layer of the sour cream mixture in the bottom of a baking dish.
Fill each tortilla with the chicken mixture, then roll them up.
Place the rolled tortillas seam-side down in the baking dish.
Pour the remaining sour cream mixture over the top of the enchiladas.
Sprinkle shredded Monterey Jack cheese evenly on top.
Cover with aluminum foil and bake for 20 minutes.
Remove the foil and bake for an additional 5 minutes until the cheese is bubbly and golden.