The spelling of the word "ex cogitates" follows the basic rules of English phonetics. The word is pronounced as /ɛkskɑdʒɪteɪts/ with stress on the second syllable. The first syllable "ex" is derived from the Latin prefix meaning "out of" while the second syllable "cogitates" is a verb form of the word "cogitate" which means to think deeply. The spelling and pronunciation of this word reflects its origin in Latin and its meaning in English.