The correct spelling of the phrase "study at vindictive" is straightforward once you break it down with IPA phonetic transcription. Firstly, the word "study" is spelled with a long /u:/ sound and a voiced /d/ at the beginning. Secondly, "at" is simply spelled as it is pronounced, with a shortened /a/. Lastly, "vindictive" is spelled with a short /i/ sound, followed by a voiced /v/ and a fricative /n/. Then it ends with a short /d/ and a long /ɪv/ vowel sound. Remembering these pronunciation rules can ensure an accurate spelling of the phrase.