The administrator of a branch office receives an IPv6 prefix of 2001db8300052 from the corporate network manager. How many subnets can the administrator create?

The IPv6 prefix 2001:db8:3000:52::/64 indicates that the first 64 bits are used for the network portion. With a /64 subnet, the administrator can create 2^(128-64) = 2^64 subnets, which equals 18,446,744,073,709,551,616 possible subnets. Thus, the administrator has an enormous number of subnets available to allocate.