The negative connotation of the word "prescribe" is dictate.
What are negative connotation?
A negative connotation is the expression of a bad feeling or emotions through words or phrases.
From the word given in the question, prescribe means to advise someone to follow a particular guideline or rules.
But it's negative connotation is dictate which means to state or order someone authoritatively on what to do.
Therefore, the negative connotation of the word "prescribe" is dictate.
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