This is the 9901st most frequent Russian word.
азиатском
"азиатском" means "Asian" (adjective, in the prepositional case).
The word 'азиатском' is used in prepositional case to describe the type of art.
Я интересуюсь азиатском искусством.
I am interested in Asian art.
Here, 'азиатском' describes the style and is in prepositional case.
Мы учимся готовить блюда на азиатском стиле.
We are learning to cook dishes in the Asian style.
In this context, 'азиатском' denotes the language and appears in prepositional case.