'inaccurate' originates from Latin, specifically the word 'inaccuratus,' where 'in-' meant 'not' and 'accuratus' meant 'done with care.' 'Execute' originates from Latin, specifically the word 'exsequi,' where 'ex-' meant 'out' and 'sequi' meant 'follow.'

'inaccuratus' transformed into the French word 'inaccuré,' and eventually became the modern English word 'inaccurate' through Middle English. 'Exsequi' transformed into the French word 'exécuter,' and eventually became the modern English word 'execute.'

Initially, 'inaccurate' meant 'not done with care,' and this meaning has largely remained the same in modern usage. 'Execute' initially meant 'to follow out,' and evolved to mean 'to carry out or perform.'