Is it a state law in Arkansas that a divorced mother with children cannot live with a divorced father with a child of his own if they are unmarried to each other?

No, there is no state law in Arkansas that prohibits a divorced mother with children from living with a divorced father who has a child of his own if they are unmarried. Such living arrangements are generally a personal decision and not regulated by law. However, custody and visitation considerations may come into play if either parent has concerns about the living situation affecting their children. Always consulting with a legal professional for specific cases is advisable.