Spoiler follows:
Create a fortify restoration potion and drink it while the alchemy items are equipped. Immediately after drinking it (before exiting the items menu) remove all of the alchemy items, exit out of all the menus and then go back in and re-equip them (the alchemy items). Quickly go back in and create a new restoration potion which should be stronger than the first. Follow the same: drink, take items off, exit menu, put items back on -> create new restoration potion a couple more times. When you're satisfied, do the same as before but this time create an enchantment potion. You might have only 60 seconds to complete the process before the original restoration wears off but it only takes a few cycles to get very powerful results. The same can be done with fortify smithing. You could ultimately create weapons with millions of damage points if you wanted to go that far. I found that it makes the game much less enjoyable and rather use regular weapons/armor etc.
One thing I used this for that I don't consider 'cheating' is to
create a fortify alteration potion with a high percentage: spells last 20,000% longer for 60 secs etc. Then you drink that and cast the candlelight spell and it lasts much longer while in the dark. You can also drink the enhanced restoration potion with amulet of talos unequipped, equip the item and wait for a day or two. That will remove the wait time between shouts.