This is the 13547th most frequent Russian word.
науке
"Науке" means "to science" or "for science" (dative case of "наука," which means "science").
The word 'науке' is used in the dative case here, indicating dedication or direction towards science.
Он посвятил свою жизнь науке.
He dedicated his life to science.
The word 'науке' is used in the prepositional case here, denoting the sphere or context, in this case, of science.
В науке важно быть объективным.
In science, it is important to be objective.
The word 'науке' appears in the dative case again, suggesting the purpose or benefactor of the servitude, which is science.