THESAURUS
Preponderate
best, bestride, better, cap, dictate, dominate, domineer, exceed, excel, go one better, have the ascendancy, improve on, master, outweigh, overbalance, overbear, overcome, overpass, overtop, perfect, play first fiddle, predominate, prevail, reign, rule the roost, surpass, take the lead, top, tower above, tower over, transcend, trump, twist, wear the pants
ROGET THESAURUS
Preponderate
Superiority
VB
be superior, exceed, excel, transcend, outdo, outbalance, outweigh, outrank, outrival, out-Herod, pass, surpass, get ahead of, over-top, override, overpass, overbalance, overweigh, overmatch, top, o'ertop, cap, beat, cut out, beat hollow, outstrip, eclipse, throw into the shade, take the shine out of, outshine, put one's nose out of joint, have the upper hand, have the whip hand of, have the advantage, turn the scale, kick the beam, play first fiddle, preponderate, predominate, prevail, precede, take precedence, come first, come to a head, culminate, beat all others, bear the palm, break the record, take the cake, become larger, render larger.
Authority
VB
authorize, warrant, dictate, be at the head of, hold office, be in office, fill an office, hold master, occupy master, a post master, be master, have the upper hand, get the upper hand, have the whip, get the whip, gain a hold upon, preponderate, dominate, rule the roost, boss, override, overrule, overawe, lord it over, hold in hand, keep under, make a puppet of, lead by the nose, turn round one's little finger, bend to one's will, hold one's own, wear the breeches, have the ball at one's feet, have it all one's own way, have the game in one's own hand, have on the hip, have under one's thumb, be master of the situation, take the lead, play first fiddle, set the fashion, give the law to, carry with a high hand, lay down the law, ride in the whirlwind and direct the storm, rule with a rod of iron.