exponential

American  

[ek-spoh-nen-shuhl, -spuh-] / ˌɛk spoʊˈnɛn ʃəl, -spə- /

adjective

1. of or relating to an exponent or exponents.

2. Mathematics.

   1. of or relating to the constant e.

   2. (of an equation) having one or more unknown variables in one or more exponents.

3. rising or expanding at a steady, rapid rate.

   a city experiencing exponential growth.

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noun

1. Mathematics.

   1. the constant e raised to the power equal to a given expression, as e 3 x, which is the exponential of 3 x.

   2. any positive constant raised to a power.

exponential British  

/ ˌɛkspəʊˈnɛnʃəl /

adjective

1. maths (of a function, curve, series, or equation) of, containing, or involving one or more numbers or quantities raised to an exponent, esp e x

2. exp. maths raised to the power of e, the base of natural logarithms

3. of or involving an exponent or exponents

4. informal very rapid

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noun

1. maths an exponential function, etc

exponential Scientific  

/ ĕk′spə-nĕn′shəl /

1. Relating to a mathematical expression containing one or more exponents.

2. ◆ Something is said to increase or decrease exponentially if its rate of change must be expressed using exponents. A graph of such a rate would appear not as a straight line, but as a curve that continually becomes steeper or shallower.

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Other Word Forms

• nonexponential
  adjective
• exponentially
  adverb

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Etymology

Origin of exponential

First recorded in 1695–1705; exponent + -ial

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Explanation

Exponential describes a very rapid increase. An exponential rise in the number of first graders with head lice might be a result of all the hat sharing that's gone on lately. Exponential is also a mathematical term, meaning "involving an exponent." When you raise a number to the tenth power, for example, that's an exponential increase in that number. When your next door neighbor describes the exponential growth of her rose bushes or the exponential increase in members of her book group, she means that there's been a sharp, fast expansion of both things.

Example Sentences

See Examples For:

exponential

“The exponential scaling of LLM capabilities and AI’s full potential productivity impact suggest a broad and meaningful opportunity for value creation,” the analysts wrote, referring to large language models, a technical term for AI models.

From MarketWatch ● Sep. 24, 2026

Researchers and industry experts believe the first company to master that process could set off an exponential cycle of progress, pulling so far ahead that competitors can no longer catch up.

From Los Angeles Times ● Sep. 24, 2026

Dr Kently says he's seen an exponential rise in a condition called perioral dermatitis in teens, which is related to the overuse of ingredients that strip skin barriers like exfoliating hydroxy acids and retinoids.

From BBC ● Sep. 21, 2026

“AI glasses confirmed their exponential growth,” the company said.

From The Wall Street Journal ● Jul. 28, 2026

Fixers were designed to replicate under strictly regulated conditions, but the damaged Fixer replicates uncontrollably, at an exponential rate, using whatever materials are at hand.

From "We Are the Ants" by Shaun David Hutchinson

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