Re: Updating FJ's technical manual?
This is the spoken dialogue: "By installing a booster, we can increase that capability on the order of one to the fourth power."
Since "one to the fourth power" equals "one", here is the translated dialogue: "By installing a booster, we can increase that capability on the order of one."
"An order of one" magnitude is a x10 increase in capability, if we assume Kirk meant an "order of magnitude".
If you're going to bend over backwards to read it that way, then "to the fourth power" is still completely superfluous.
Which is the point. It's only there to sound technical. It's like a prop, but in dialog.
“A life is like a garden. Perfect moments can be had, but not preserved, except in memory. LLAP” — Leonard Nimoy (1931-2015)