In a way that serves as a good example; with the quality of being worthy of imitation or providing a model to follow.
From 'exemplary' plus the adverbial suffix '-ily.' The word evolved to describe not just being exemplary but doing things in an exemplary manner.
When a teacher or leader acts 'exemplarily,' they're using their own behavior as a teaching tool—children often learn what you do far better than what you say.
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