Place the chicken breasts in the bottom of the slow cooker.
Add the black beans, corn, and diced tomatoes with green chilies on top of the chicken.
Pour in the chicken broth, then sprinkle the chili powder, cumin, salt, and black pepper over everything.
Cover and cook on low for 6 to 7 hours or on high for 3 to 4 hours, until the chicken is fully cooked and easy to shred.
Remove the chicken from the slow cooker and shred it with two forks, then return it to the soup and stir to combine.
Ladle the soup into bowls and add tortilla strips, cilantro, and a squeeze of lime just before serving.