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Synonyms for Powerful (same or very similar meaning)

WordNet sense 1 (strong enough to knock down or overwhelm):
knock-down

WordNet sense 2 ((of a person) possessing physical strength and weight; rugged and powerful):
brawny, hefty, sinewy

WordNet sense 3 (having strength or power greater than average or expected):
strong

WordNet sense 4 (having or exercising influence or power):
influential

WordNet sense 5 (powerful):
puissant

WordNet sense 6 (having or wielding force or authority):
potent

WordNet sense 7 (having or suggesting great physical power or force):
muscular

WordNet sense 8 (having or showing great strength or force or intensity):
mighty

WordNet sense 9 (driving or forcing):
compelling

WordNet sense 10 (having unlimited power):
omnipotent

WordNet sense 11 (displaying superhuman strength or power):
herculean

WordNet sense 12 (above or beyond the human or demanding more than human power or endurance):
superhuman

WordNet sense 13 ((Southern regional intensive) very):
right


From the ODE community, based on WordNetadd/edit