This is the 2731st most frequent Russian word.
дзержинске
"Dзержинске" is the prepositional case of "Дзержинск," referring to the city of Dzerzhinsk in Russia.
In this sentence, 'Дзержинске' is the locative form of the proper noun 'Дзержинск', indicating the location where the speaker resides.
Я живу в Дзержинске.
I live in Dzerzhinsk.
Here, 'Дзержинске' demonstrates the locative case, used to express the place of birth.
Моя бабушка родилась в Дзержинске.
My grandmother was born in Dzerzhinsk.
The locative form 'Дзержинске' is used to specify the location of the museum.