Replication compatibility between minor MySQL versions
Get the .rpm for 5.7.10 and install that! Or else test the bejesus out of your proposed setup! From here: the manual is self-contradictory:

Sentence 1: 



  MySQL supports replication from one release series to the next higher
  release series. For example, you can replicate from a master running
  MySQL 5.5 to a slave running MySQL 5.6, from a master running MySQL
  5.6 to a slave running MySQL 5.7, and so on.


Sentence 2: (this **is** the biggie)



  However, you may encounter difficulties when replicating from an older
  master to a newer slave if the master uses statements or relies on
  behavior no longer supported in the version of MySQL used on the
  slave.


Sentence 3:



  The use of more than two MySQL Server versions is not supported in
  replication setups involving multiple masters, regardless of the
  number of master or slave MySQL servers. This restriction applies not
  only to release series, but to version numbers within the same release
  series as well. For example, if you are using a chained or circular
  replication setup, you cannot use MySQL 5.7.1, MySQL 5.7.2, and MySQL
  5.7.4 concurrently, although you could use any two of these releases together.


Check out my first idea - I firmly believe that it's (by far) your best option - no compatibility worries (that's the great thing about Open Source software).