The argument is that her Q is her only real nuke. In reality her W isnt used for damage much, And her E doesnt do a ton. the E has pretty fair damage.
But im gonna do the math her on her Q.
So i looked up just some random zoe build and it came out to 579 AP https://www.mobafire.com/league-of-legends/build/carry-the-game-s8-zoe-518473
Now the Q gets at level 18 450 base damage. and at max rank it gets another 300.
So we are at 750 damage with 0 ap. thats fucking crazy already.
now the Q has a 165% scaling so you take 579 x 1.65 and that gives you roughly 955 damage
So we are at 1,705 damage point blank.
Now the Q gains 150% increased damage at max range 1,750 x 1.5 comes out to 2,558 damage.
So zoe has access to 2,558 damage on a 6.25 second cooldown with no cdr. The Zoe build that i used to calculate this has 40% cdr so this means its only a 3.75s cooldown. (the ult at rank 16 is 5 seconds with no CDR so its 3 seconds with the cdr)
Seriously riot. come the fuck on.