'unamplifiable' originates from English, specifically the prefix 'un-' combined with the adjective 'amplifiable', where 'un-' meant 'not' and 'amplifiable' meant 'able to be amplified.'

'amplifiable' is derived from the verb 'amplify,' which comes from Latin 'amplificare' (from 'amplus' meaning 'large' and 'facere' meaning 'to make'). 'Amplificare' passed into Old French and Middle English as forms of 'amplify,' from which the English adjective and then the negative form 'unamplifiable' were formed.

Initially, the root meant 'to make large or expand.' Over time it came to include increasing volume, power, or intensity (for example, electrical signals or sound); 'unamplifiable' carries the modern negative sense of 'not capable of such increase.'