If you are on active duty, the expiration date on your Wyoming driver license can be waived. Show your valid active duty military ID card when you apply and you get an "I" restriction that waives the expiration, keeping the license valid as long as it is carried with active duty orders or a military ID card. If you are a nonresident on active duty, you and your dependents do not need a Wyoming driver license at all.
Show your valid active duty military ID card when you apply for a license at a Wyoming Department of Transportation driver exam station.
Your valid active duty military ID card, plus active duty orders to carry with the license.