Place sweet potatoes and onion in layers in the slow cooker.

Put the chicken on top and sprinkle with salt and pepper.

Blend coconut milk, peanut butter, soy sauce, brown sugar, curry paste, lime juice, and broth until smooth.

Pour sauce over chicken.

Cook on low for four to five hours, or high for two to three hours.

Shred chicken with two forks; stir into sauce before serving.