100123-request-help-with-crafting-power-cores-and-fluxes

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I'm quite confused with how power cores and fluxes affect the stats of the crafted gear and weapons.
could someone explain to me how it works?
 
for example, different power cores have different type of effects, which I don't fully understand all of them.
 
1. "this strong power core decreases the cost to power ineffecient stats"
 
2. "intricate crystal formations in this power core offer excellent power output for gear"
 
what are those two actually do?
 
also, I get that there are different power cores for different level of gear, for example hybrid power cores are for level 50 gear.
what are the fusion and illuminate power cores are for? they are the purple power cores.
 
Thanks for all the helpers.	
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If you look at the descriptions for each of the stat slots on the piece you're trying to make, you'll see either good, average, or bad as the descriptor. These determine how many points of power you have to use to get 1 stat point. I don't remember the exact numbers, but I think Good is .75, Average is ~1, and bad is greater than 1. So for a good slot, you'd only have to use .75 of your available power to put one point of your chosen stat on your item. 
 
{| class="blockquote"
1. "this strong power core decreases the cost to power ineffecient stats"
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