The correct spelling of the word "doing exterminate" is actually "doing extermination". Its IPA phonetic transcription is /ˌduːɪŋ ɪkˌstɜːmɪˈneɪʃən/. This word is derived from the noun "extermination", which means the act of getting rid of something completely or destroying it completely. The verb form, "to exterminate", means to kill or destroy completely. It is important to use correct spelling and pronunciation to effectively communicate ideas and avoid misunderstandings.