Here's a terminology snafu from "The Cage"/"The Menagerie" [
http://www.chakoteya.net/StarTrek/16b.htm]:
KEEPER: That is your choice. To help you reclaim the planet's surface, our zoological gardens will furnish a variety of plant life.
Um. "Zoological garden" is just the unabbreviated term of "zoo," a place where specifically animals are kept, not specifically plants. Sure, animals may need plants for their habitats, so no doubt plants are kept there too, but....

It's wrong. It's as if it was written to impress with wordiness without having the actual requisite understanding to use the term properly, a not uncommon cause of the misuse of terminology.
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While none of the following category is definitively wrong in the way the "one to the" "Court Martial" example is, there is quite a bit of Treknobabble that is cringeworthy. Here are two examples.
First example, from "Errand of Mercy" [
http://www.chakoteya.net/StarTrek/27.htm,
https://memory-alpha.fandom.com/wiki/Richter's_scale_of_cultures]:
Approximately Class D minus on Richter's scale of cultures

A couple of things wrong, there are. First, the teacher almost flunks the Organians' culture; they probably should have studied harder, eh? Second, Richter scale? Really??? I knew Richter was a mover and a shaker, but....
Second example, from "The Apple" [
http://www.chakoteya.net/StarTrek/38.htm,
https://memory-alpha.fandom.com/wiki/Wortham_unit]:
SCOTT: Scotty, sir. We have a reading on the power source Mister Spock requested. When we first monitored, it was generating alternating cycles totalling one hundred to the twentieth power Wortham units.
As everybody knows

, the SI unit of power (energy per time) is watt, named after James Watt. This fictional unit of power induces groans, because it sounds about like "Watt, um." James Watt was even Scottish, so Scotty should be ashamed of himself....

The Memory Alpha link just above contains de Forest Research's feedback for the line, but IMO they should have recommended the correction to "watts" as well, and scaled it appropriately. For reference, the Sun puts out about 3.846×10^26 watts [
https://ag.tennessee.edu/solar/Page...ated,radius of approximately 93,000,000 miles,
http://www.yourturn.ca/solar/solar-power/how-much-power-does-the-sun-give-us/], and on the order of 10^17 watts of it falls to Earth [second source]. So, saying
"ten to the 17th power watts" would have been something like the thing to say, never minding how it is that Vaal is generating enough power to immobilize a starship from the few exploding rocks that this one village tosses in (a problem that's never solved anyway).