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The phrase "a multiplicative effect on" is correct and usable in written English.
It can be used when discussing the impact or influence of one factor on another, particularly in mathematical, scientific, or economic contexts.
Example: "The new policy had a multiplicative effect on the company's growth, significantly increasing revenue."
Alternatives: "an exponential impact on" or "a compounding effect on".
Exact(22)
T-Mobile says that the deal would have a multiplicative effect on total available network capacity, effectively reducing the costs of carrying each gigabyte of data.
Several researchers [9, 14, 24, 26], using road accident statistics, have presumed that the explanatory variables have a multiplicative effect on accidents (as opposed to e.g. additive).
The OW channel propagation results in a multiplicative effect on the transmitted optical intensity of the laser source with a channel gain factor.
Because the economy has not yet recovered from the Great Recession, that reduced spending will have a multiplicative effect on GDP.
The increase in IFNβ mRNA has a multiplicative effect on the downstream MxA mRNA, which is induced >50 fold (Table 2), reflecting the induction of the innate immune responses in the brain at 4 days p.i.
We also demonstrated the possibility to find combinations of parameters with a multiplicative effect on cell size.
Similar(38)
Other simple schemes also lead to a multiplicative effect of signal molecule concentration on the rate of reaction.
Absent such knowledge, risk assessors often default to a multiplicative effect of the exposure of interest on background risk, in part for computational convenience.
A Cox-regression model was utilised whereby the effect of a genetic susceptibility has a multiplicative effect over time on the risk of a subject developing nephropathy.
The overdispersion is modeled using a latent multiplicative effect on the hazard, or frailty.
Perera et al. (2004) reported that combined exposure to high ETS and high BaP-DNA adducts had a significant multiplicative effect on birth weight (P = 0.04) and head circumference (P = 0.01) [ 38].
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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