Source : Webster's Revised Unabridged Dictionary (1913)

Explosively \Ex*plo"sive*ly\, adv.
   In an explosive manner.

Source : WordNet®

explosively
     adv 1: suddenly and rapidly; "the population in Central America is
            growing explosively"
     2: in an explosive manner; "the political situation in Kashmir
        and Jammu is explosively unstable"