Select the settings gear
Select iCloud, then turn on the toggle for iCloud
Just to be safe, you can also turn on an extra backup to Google Drive by selecting Auto-backup, then Google Drive (if this is your first time doing this, it may ask you to sign into Google Drive)
Slide to the book you want to save and select export (square with up arrow)
Then select Export as ePub
Select Add to iCloud Drive, then select iCloud Drive again
To be safe, you can also add it to Google Drive. Repeat the steps above and instead of selecting iCloud Drive, scroll over to select Copy to Google Drive as shown below
Select the project you want to save, then select export (square with up arrow)
Select "Add to iCloud Drive"
Next go back to select the export button again, now select "Copy to Google Drive"