explanatively
One presentation of the material can be more explanatorily powerful than another.
I believe that this framework is explanatorily inadequate for our purposes.
I am not sure whether this factor is explanatorily significant or not.
She has picked out only the information that is explanatorily relevant.

SMART Vocabulary: related words and phrases

Defining & explaining
account (to someone) for something
accountability
adumbrate
adumbration
annotation
annotator
belabour
demythologize
disabuse
extenuate
indescribably
inexpressibly
justificatory
lay something out
limn
outline
sketch
spell
trace
what is he, are they, etc. like?idiom