For some reason, when I have tried to export a database, the password to my administration panel becomes encrypted. So when the database is restored, the administration panel's password changes to the encrypted code.
Is there a way to export the database and have the password remain as the actual text value?
You're saying it (phpMyAdmin or whatever you're using) Encrypts the pass that is inside the mysql? Are you sure it's not already being encrypted before put in there? That's very unusual for that to happen it's not supposed to mess with any of your database in the form to my knowledge.
I'm with esb740 on this one. It's standard practice to store encrypted passwords to database. You then encrypt the password you receive on user input and compare it to the one in the database. If they match, correct password was entered and you're logged in to your website / admin panel.
Did you try to log in to your site after restoring the database?