exponential
/ˌekspəˈnenʃl/ (bre, ipa) · /ˌekspəˈnenʃl/ (ame, ipa) · /ˌek-spə-ˈnen(t)-shəl/ (ame, mw)
exponential — adjective
- exponentialpositive
- more exponentialcomparative
- most exponentialsuperlative
1. describing a process where the amount or speed of something grows faster and fas
describing a process where the amount or speed of something grows faster and faster over time — like a technology that jumps from a hundred users to a million in a few months, or a cost that doubles each year.
The company's revenue doubled every six months, showing exponential growth that outpaced all competitors.
exponential + growth — most common collocation
Aiko watched the exponential rise in her monthly podcast listeners.
Dr. Okafor warned that the infection rate would be exponential without action.
The cost of repairing the pier grew at an exponential pace as new problems appeared.
Demand for electric cars doubled each quarter, an exponential trend overwhelming factory capacity.
文法句型
exponential + noun (growth/rate/rise/pace)
be + exponential
用法筆記
Common in business, technology, and public-health writing. The adjective is used both before nouns ('exponential growth') and after linking verbs ('the increase was exponential'). The adverb form 'exponentially' ('to grow exponentially') is equally frequent.
常見錯誤
2. relating to a mathematical operation in which a quantity is raised to a power —
relating to a mathematical operation in which a quantity is raised to a power — for instance, the expression 2³ involves the base 2 and the exponent 3, making it an exponential statement.
The students learned to solve exponential equations like 2ˣ = 32 in their Thursday algebra class.
exponential + equation — common math term
Ravi drew an exponential curve whose y-values climbed from 1 to 32 in five steps.
Diego plotted an exponential function and watched its value climb from 2 to 256 in seven steps.
Ines rewrote the exponential term 3⁵ as 3 × 3 × 3 × 3 × 3 to verify her group's answer.
Nadia converted the exponential equation 7³ = 343 into logarithmic form to double-check her answer.
- logarithmic
the inverse relationship; used for the opposite type of function
- power-law
describes relationships of the form y = xⁿ; similar but not identical to exponential
- linear
describes a constant rate of change (y = mx + b), not a power-based relationship
文法句型
exponential + noun (function/equation/curve/expression)
用法筆記
Restricted to mathematics and related technical fields (physics, engineering, computer science). Typically appears attributively before nouns such as 'function', 'equation', or 'expression'. Learners below C1 level are unlikely to encounter this sense outside a formal math class.