The spelling of the word "study atrevenge" is non-existent as it is a meaningless combination of words. However, if we break down the phrase "study" and "revenge" separately, we can use IPA phonetic transcription to explain their spelling. "Study" is spelled /ˈstʌdi/ and "revenge" is spelled /rɪˈvɛndʒ/ in IPA. It's important to use correct spelling and grammar in our communication to make our message clear and easily understood.