If the power or internet outage was caused by a storm, the first priority is safety. If it is not safe, never travel to find power or internet to complete your coursework!
When you are able to contact your instructor (safely), let them know about your outage and how long the outage may last. Ask if your instructor can postpone due dates and/or give you an extension due to the outage.
Any power or internet outage may impact multiple students in the class, and possibly the instructor as well. If this is the case, the instructor may postpone due dates or give extensions to the entire class.