The validity of an out-of-state Advanced Directive in Utah is a cause of common concern among clients. The Utah Advance Directive Health Care Act states in Title 75-2a-121 that a "health care provider may, in good faith, rely on any health care directive, power of attorney or similar instrument: (a) executed in another state…"
So, the answer is "yes". Most likely your health care provider will recognize the validity of that out-of-state instrument.
However, if you are living in Utah (and have the requisite capacity), you may want to compare the Utah statutory form with your out-of-state Advanced Directive to ensure that your desires with respect to agency and end of life treatment are sufficiently represented on your Advanced Directive.