核心畫面

Picture someone taking a thing out of a bag and setting it down on the table where everyone can see it. That act — putting something out in the open so it can be looked at — can be taken as the thread behind exponent. A person can set out an idea by explaining it, or set out a skill by performing it, and in maths a small number is set out above the line to show how many times to multiply.

可以想成有人把一樣東西從袋子裡拿出來,擺在桌上讓大家看。這個「把東西攤開來給人看」的動作,可以當成貫穿 expone更多收起可以想成有人把一樣東西從袋子裡拿出來,擺在桌上讓大家看。這個「把東西攤開來給人看」的動作,可以當成貫穿 exponent 的一條線:有人用解釋把想法擺出來,有人用作品把技藝擺出來,而在數學裡,一個小數字被擺到右上角,把「要乘幾次」這件事攤開來給人看。

From the word’s history

The source records exponent from Latin expōnēns, the present participle of expōnō (to expose, exhibit, display, set out, explain), itself ex- (out, away) plus pōnō (to lay, place, put). The literal sense of putting something out is what the modern core picture rests on.

資料記的是:exponent 來自拉丁文 expōnēns,是動詞 expōnō 的現在分詞,而 expōnō 由 ex-(向外)加 pōnō(放置)組成,意思包含「展示、擺出來、說明」。今天這個「攤開來給人看」的核心畫面,正是從這個字面來的。

Wiktionary (kaikki:3f6f69a190036ae4:767842254:36136), etymology of exponent (noun)

Two branches

把東西擺出來的人

這一組講的都是人。差別只在於他用什麼方式把東西擺出來:一個用嘴巴解釋,一個用手上的功夫示範。

noun · C1

Someone who explains an idea, belief or way of doing things in public and argues that it is good or useful, so that other people will accept it too.

倡導者;提倡者

擺在右上角的小數字

這一支不是人,是符號,所以跟前面兩個讀起來距離比較遠。連起來的方式可以想成同一個「擺出來」:把資訊抬高、放到看得見的位置。這是一條幫助記憶的教學連結,資料只支持整個字來自 expōnō,並沒有交代這個數學用法怎麼長出來。

noun · B2

In maths, the small sign written above and to the right of a number or letter, which tells you how many times that number is multiplied by itself. In 2³ the exponent is 3, so the sum is 2 × 2 × 2 = 8.

指數