Place the chicken breasts in the bottom of the slow cooker.
Add the drained black beans, diced tomatoes with green chilies, frozen corn, and frozen bell pepper strips on top of the chicken.
Pour the chicken broth over the other ingredients.
Sprinkle in the chili powder, cumin, garlic powder, cayenne pepper, and salt.
Stir gently to combine everything, then cover and cook on low for 6 to 8 hours.
Shred the chicken directly in the slow cooker using two forks.
Ladle the stew into bowls and serve with tortilla chips on the side.