256 /64 subnets can be created within a /56 prefix. The Option D.
In IPv6 addressing, each subnet is typically assigned a /64 prefix. A /64 prefix consists of 64 bits.
A /56 prefix consists of 56 bits. To calculate how many /64 subnets can be created within a /56 prefix, you need to find out how many bits are available for subnetting within the /56 prefix.
To do this, you subtract 56 from 64:
= 64 (bits in a /64 prefix) - 56 (bits in a /56 prefix)
= 8 bits
So, within a /56 prefix, there are 8 bits available for subnetting.
To find the number of subnets that can be created with 8 bits, you use the formula 2^n where 'n' is the number of bits available.
In this case, it's 2^8 = 256.
Therefore, within a /56 prefix, you can create 256 /64 subnets.