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So it is the year 2020. And still no one gets the "empower spell" spell. I am ol' school DnD, new to pathfinder, n u all r driving me crazy. So lets do the literature evaluation before the actual math.
EMPOWER SPELL defined is: ALL variable, (note the comma) numeric (adjective) effects of an empowered spell (the spell u r casting) are increased by half. INCLUDING BONUSES (which means it has a + before the number) to those (meaning 1 or more) dice rolls.
Definitions:
Variable- not consistent or having a fixed pattern. Liable to change and/or be changed or adapted.
Numerical- relating to or expressed as a number or numbers.
So kiddos what this means is if the number is set (i.e. d3, d4, d6, d8, d10, etc.) It can not be effected. However if the number before that dice such as a (1) when working with a 1d8 roll can be changed such as 1d8/caster lvl. And you are lvl 15. It becomes a 15d8 + 7d8 = 22d8 roll. Always round down when halves are not even. Now if that 1d8/caster lvl has a +5 bonus, the bonus is halved rounded down and becomes +7. So your equation at lvl 15 casting a spell of 1d8+5/lvl of caster would look like this, 22d8+7. So basically your variable is when caster lvl or + bonuses apply to your initial spell. Another example:
Unerring Weapon- This spell causes a weapon to veer closer to vital areas, improving the result of a critical threat. This transmutation grants a +2 bonus on attack rolls to confirm critical hits plus 1 additional point per four caster lvls (maximum total bonus +7). Now do you remember that part in empower spell feat. INCLUDING bonuses. This means a lvl 8 spell caster can give a +4 bonus normally. But with empower spell feat it becomes a +6 bonus. Maximum using empower spell rounded down is +10 bonus to an attack roll.
Note empower spells doesn't work with spells that give +1 bonuses only. Bonuses must be +2 or higher, and the effect must be to a rolled dice. It will work with fireball but not flaming sphere. Will work with bulls strength but not mage armor.
Hope i made it a little easier to understand.
Again your variables are /lvl of caster to dice rolls and +bonuses to dice rolls.
Note, if changing a stat effects a persons dice roll as a bonus. It to works.

Thank you for your time, ear, n patience.
Gummyslayer.