Moving from on-premises Exchange into Exchange Online is a big change for multiple reasons. These are different systems that require different administration strategies.
For administrators, one of the best reasons for moving to a cloud service such as Office 365 is that a lot of the tedious and difficult tasks are done for you. Building new servers, checking hard drives for enough space, replacing failed hardware, patching systems and making backups are areas that Microsoft and other cloud service providers will handle for your organization. But one area that requires some attention is Exchange Online backups.