"If it is, we may take this into account when giving you a final grade."
Students were asked to supply some "documentary evidence" of the power outage in their area if they felt this applied to them.
The University of Auckland email said records of communication with Vector, or reference to their own reports dealing with their neighbourhood should be sufficient.
Politics students who didn't fit into that category were also assured their grades wouldn't be affected and the test would go ahead.
University of Auckland spokesman Todd Somerville said the main impact of the storm came Tuesday night and resulted in Epsom Campus losing power.
"I'm not aware of any other ongoing impact from the storm, but they're [the tutors] obviously onto it basically, and students should just follow their instructions."
More than 5000 homes are still without power after the powerful storm that hit Auckland on Tuesday.
Patience was wearing thin among thousands of residents who were still without power today.
Auckland Council and police have deployed teams to do welfare checks on properties.