This is the 6584th most frequent Turkish word.
askere
"Askere" means "to the soldier" or "to the military" in English.
In this sentence, 'askere' refers to the destination (army service) where one is going. It's in accusative case indicating motion towards.
Askerlik çağına gelen gençler askere gitmek için hazırlanıyor.
Young people reaching military age are preparing to go to the army.
In this sentence, 'askere' modifies the ownership or association of the entity (hotel) to the army.
Tatilde askere ait bir otelde konakladık.
During the vacation, we stayed in a hotel belonging to the army.
Here, 'askere' is used to indicate the entity (the army) to which the application is being made.