In a way that produces excitement and happiness; so as to exhilarate.
From exhilarating (exhilarat(e) + -ing) + -ly (adverb suffix). This is a three-part word formation showing how complex adverbs are built from verbs.
The adverb 'exhilaratingly' requires two suffixes stacked on top of the verb, which makes it somewhat awkward—most people would say 'in an exhilarating way' instead of using this word.
Complete word intelligence in one call. Free tier — 50 lookups/day.