This is the 226th most frequent Korean word.
있게
A form of "있다," meaning "so that [something] exists" or "in a way that it exists."
Here, '있게' is part of '이해할 수 있게', showing facilitation or designing something for easier comprehension.
이 책은 정보를 쉽게 이해할 수 있게 작성되었어요.
This book was written to make the information easy to understand.
In this sentence, '있게' is used in '행복하게 살 수 있게', denoting a state or manner intended to achieve a purpose.
그는 모든 사람이 행복하게 살 수 있게 기도했어요.
He prayed so that everyone could live happily.
The word '있게' is used within the phrase '쉴 수 있게', indicating the reason or purpose to enable something to occur.