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exponentially

UK[ˌekspəˈnenʃəli]US[ˌekspəˈnenʃəli]
adv

increasing or decreasing at a faster and faster rate

adv

(mathematics) in a way that is expressed or involves an exponent

Morpheme Breakdown

ex
pon
entially
ex

out of, from, thoroughly

pon

to place, to put

entially

relating to

Etymology

the word 'exponentially' is built upon the mathematical term 'exponent', which itself originates from the latin 'exponere', meaning "to set forth, explain, or expose". this verb is a compound of 'ex-' ("out") and 'ponere' ("to place"), literally conveying the idea of "placing out" or "displaying". in mathematics, an exponent is a symbol or number "placed out" above and to the right of another to indicate repeated multiplication, thus representing a powerful, outward projection of quantity. the modern adverbial sense of rapid, accelerating growth derives from the characteristic of exponential functions in mathematics, where values increase at a rate proportional to their current value, leading to an ever-steepening curve that vividly illustrates the concept of explosive, outward expansion.

Analysis

Structure: ex + pon + entially - ex: (latin) a prefix meaning "out of, from, thoroughly". - pon: (latin) from the root of the verb 'ponere', meaning "to place, to put". - entially: (latin/french/english) a complex adverbial suffix combining '-ent' (adjective-forming suffix indicating state or condition), '-ial' (adjective-forming suffix meaning "relating to"), and '-ly' (adverb-forming suffix).

Examples

the use of smartphones has grown exponentially over the past decade.

the bacteria multiplied exponentially in the ideal conditions.

the algorithm's processing time increases exponentially with the size of the input data.

exponentially – Meaning, Etymology & Word Origin | OpenEtymology