According to the Ashland Theological Seminary Writing Handbook,
"An exegetical paper focuses analysis on a passage of Scripture (often called a pericope), using either English only or original language resources to draw out the meaning of the passage. An exegetical paper follows a specified method of analyzing the text in order to inform proper interpretation." pg.12-13
or another way to put it:
According to Elements of Biblical Exegesis: A Basic Guide for Students and Ministers:
"Biblical Exegesis may be defined as the careful historical, literary, and theological analysis and explanation of a text." *
*Gorman, Michael J. Essay. In Elements of Biblical Exegesis: a Basic Guide for Students and Ministers, 4. Grand Rapids, MI: Baker Academic, a division of Baker Publishing Group, 2020.*