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The phrase "an exponential increase" is correct and usable in written English.
It can be used when describing a rapid and significant growth in a particular quantity or phenomenon.
Example: "The company experienced an exponential increase in sales after launching their new product."
Alternatives: "a dramatic rise" or "a significant surge."
Exact(60)
An earlier study by Dr. Taylor had described an "exponential" increase in the London metropolitan region among children born from 1979 to 1992.
An economic supply schedule is provided, which shows an exponential increase in the cost of sequestration.
Modern records indicate an exponential increase in such sightings.
You're talking about an exponential increase in conflicts of interest.
"There's been an exponential increase in their numbers and biomass," he said.
"There's been an exponential increase in map-related art in gallery and museum shows".
"For the next few years, we are going to have an exponential increase".
Second, the increased use of railways to move oil has resulted in an exponential increase in oil spills.
The enormous expansion of the camps resulted in an exponential increase in the misery of the prisoners.
Have you seen an exponential increase in chess talent in the country as a ripple effect?
"We have seen an exponential increase in the number of enrollments," Ms. Westgate said.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com