This is the 2691st most frequent Russian word.
америке
"Америке" means "America" in the prepositional or dative case in Russian.
'Америке' here is used incorrectly; it should be 'Америку', the proper accusative form when indicating the destination of movement.
Я хотел бы посетить Америке в следующем году.
I would like to visit America next year.
'Америке' is correctly used in prepositional case to describe the location where she has been residing.
Моя бабушка живёт в Америке уже двадцать лет.
My grandmother has been living in America for twenty years.
'Америке' is used in prepositional case here to denote the object of discussion when introduced by 'о' (about).