This is the 5230th most frequent German word.
ausfällen
"Ausfällen" means "to precipitate" or "to cause to separate out from a solution."
The word 'ausfallen' here refers to branches that are falling or dropping due to the cutting process.
Die Bäume im Wald müssen gefällt werden, deshalb fallen einige Äste aus.
The trees in the forest need to be cut down, therefore some branches are falling out.
In this sentence, 'ausfallen' means to be cancelled or omitted, commonly used in scheduling contexts.
Diese Woche fällt der Unterricht wegen eines Feiertags aus.
This week, the class is cancelled due to a holiday.
Here, 'ausfallen' describes the cessation or disruption of services, such as electricity.