What does exponentially mean?
"Exponentially" is an adverb describing change that accelerates over time: when a quantity grows or shrinks exponentially, each increase is proportional to its current size, so gains start small and then compound with astonishing speed. In mathematics this describes exponential functions such as compound interest or bacterial reproduction, where values double at regular intervals rather than rising by fixed amounts. Over recent decades the word has escaped the laboratory and become a staple of business and technology talk, where it is used figuratively to mean 'very rapidly' or 'by a huge amount', as in costs rose exponentially or the market grew exponentially. This looser, hyperbolic use is common and widely accepted in informal contexts, though scientific writers reserve the term for genuine exponential processes. The word derives from the Latin exponere, 'to set out or put forth', via the noun exponent. Understanding it matters because exponential change defies intuition: steady-seeming early progress can suddenly produce overwhelming results.
adverbIn a manner that increases or decreases at a rate proportional to the current value, so that growth becomes ever more rapid over time; by extension, very rapidly or dramatically.
- (Mathematics; the literal sense) In a way described by or involving an exponential function, so that a quantity changes at a rate proportional to its current value.
- (Figurative; now very common in general usage) By a very large amount; rapidly and dramatically.
"Computing power has grown exponentially since the 1970s."
"The bacteria multiplied exponentially in the warm, nutrient-rich broth."
"Streaming has made the music market grow exponentially over the past decade."
When mathematicians say something grows 'exponentially', they mean it doubles on schedule — which is why a single sheet of paper folded 42 times would reach the Moon.
Reviewed by Deb Chak, Editor. AI-assisted content curated by RJS Tech Solutions LLP.
Etymology of exponentially
"Exponentially" traces back to the Latin verb exponere, meaning 'to put forth, set out, or expose', formed from ex- ('out') plus ponere ('to place'). The noun exponent entered English in the late 16th or early 17th century, first carrying the general sense of something that sets forth or explains, before acquiring its mathematical meaning of a symbol indicating how many times a quantity is multiplied by itself. The adjective exponential and then the adverb exponentially developed from this mathematical use, becoming widespread in the 19th and 20th centuries as exponential functions became central to science and economics. The same Latin root ponere gives English a large family of cognates, including postpone, component, and expound.
Related word forms
How exponentially is actually used
In careful scientific and mathematical writing, 'exponentially' retains its precise meaning: change proportional to current size, as in exponential growth or decay. In everyday speech it is often used loosely to mean simply 'very fast' or 'a lot', a hyperbolic use that purists sometimes criticize but that is now fully established. It modifies verbs of change (grow, increase, rise, multiply) far more often than stative verbs.
Easily confused with exponentially
'Exponentially' describes rapid multiplicative change, while 'exceptionally' means to an unusually high degree; the similar opening syllables lead to occasional mix-ups in fast speech and writing.