'powerfully-generated' originates from the combination of 'powerfully' and 'generate', where 'powerfully' is derived from 'power' meaning 'strength or force', and 'generate' from Latin 'generare' meaning 'to produce'.

'powerfully' evolved from Middle English 'powerful', and 'generate' from Latin 'generare', eventually forming the modern English term 'powerfully-generated'.

Initially, 'generate' meant 'to produce or create', and 'powerfully' meant 'with great strength', which combined to describe something created with great force.