Jack of All Trades + Alien Archive: How do they interact?

[Avatar86]

If I gave my 4th level operative Jack of All Trades at 2nd and Alien Archive at 4th, how much of a bonus would I get to a physical science check to identify a creature if I had no ranks in that skill?

I swear I read something about multiple x2 bonuses stacking but it may just be wishful thinking, as that would give me a +8 bonus to the check just from Operative's Edge.

[Cellion]

On page 242 of the Starfinder Core Rulebook, we have this statement about multiplying more than once:

Starfinder CRB wrote:

When you are asked to multiply a value or roll more than once, the multipliers (×2, ×3, and so on) are not multiplied by one another. Instead, you combine them into a single multiplier, with each extra multiple adding 1 less than its value to the first multiple. For example, if you apply a ×2 multiplier twice, the result is equivalent to multiplying the value by 3 (or rolling the damage three times), not multiplying it by 4.

So with both those operative exploits, they give you a x3 multiplier on the operative's edge bonus (+6 at 4th level, for example).

[Avatar86]

Ah, yes! Thanks! I KNEW I had seen something like that somewhere but I couldn't find it again for the life of me.