Collocations for powerful - adj.

be, feel, look, seem
become, get, grow
make sb/sth

extremely, fairly, very, etc.
enormously, especially, exceptionally, extraordinarily, immensely, incredibly, particularly, remarkably, surprisingly, tremendously, unusually
increasingly
relatively
enough, sufficiently
She had a voice powerful enough not to need a microphone.

equally
potentially
economically, politically
a politically powerful figure

Powerful is used with these nouns:
advocate, alliance, ally, antidote, antiseptic, appeal, argument, arm, army, attraction, beak, beam, binoculars, blast, blow, build, case, chest, claw, climax, cocktail, combination, computer, constituency, corporation, critique, current, deity, deterrent, drama, drive, drug, earthquake, effect, electric shock, elite, emotion, empire, enemy, engine, evidence, explosion, explosive, expression, family, figure, force, frame, grip, group, gust, hold, hurricane, ideology, image, imagery, impact, impetus, impression, incentive, indictment, individual, inducement, influence, instinct, institution, instrument, intellect, interest, jaw, kick, laser, leader, leg, lever, limb, lobby, lure, machine, magic, magnet, male, medicine, member, memory, merchant, message, metaphor, microscope, military, mix, monopoly, motivation, motor, motorcycle, muscle, myth, narcotic, nation, neighbour, opposition, patron, performance, personality, physique, piece, poison, politician, presence, punch, ray, reinforcement, reminder, rhetoric, rival, role, ruler, runner, sedative, sense, shoulder, shove, smash, sound, spell, spur, state, stench, stimulus, stroke, swing, symbol, system, taboo, technique, telescope, testament, testimony, thigh, thrust, tool, torch, tornado, tradition, transmitter, urge, voice, warrior, weapon, woman