so that one can't even도 means “even” or “also,” 못 means inability, and 하게 makes the phrase mean “so that someone cannot do something.” In the example sentences, related forms such as 도 못 해 and 도 못 했어 mean “can't even” and “couldn't even.”
KO: 아이들이 숙제도 못 하게 너무 시끄럽게 하지 마.
EN: Don't be so noisy that the children can't even do their homework.