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

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

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

Pour sauce over chicken.

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

Before serving, stir the shredded chicken (use two forks to shred) into the sauce.