As a supervisor (exempt status) is it legal for my employer to insist I work often in excess of 50-60 hrs per week without days or compensation?

I supervise a group home for MRDD often we are required to work shifts that are unfilled due to call offs, or inadequate staffing. This is in addition to regular supervisory responsibilities. We are also "on call" during the week but are supposed to be off on rotating weekends however if a supervisor leaves we are told that we must also take the calls for that group home. We often do not get two days off in a week and regularly work 50, 60 or 70 hours. We are not compensated for days off that we are unable to take due to staffing issues. Do I have any recourse other than leaving the company and the field?