exponentially

1. (mathematics, sciences) In an exponential manner.Examples: "But every known algorithm for this problem requires a number of steps that increases exponentially as n increases."; "Therefore, if absorption causes an attenuation of the oscillation amplitude, the temperature must decrease exponentially with increasing thickness."; "It can be readily derived from Eqs. 6.26 and 6.32 that the field generated by these incident evanescent waves inside the slab do ^([sic]) not decay away exponentially from the upper interface, but increases exponentially as y decreases."

2. (proscribed) rapidly, greatlyExamples: "The more serious a Christian is about God's kingdom, the more exponentially complicating that venture is […]"; "He'd felt like Kathryn's soul was in her eyes as she'd regarded him for those precious few seconds... and her spirit was even more exponentially beautiful than […]"proscribed