I have conda 4.6 with a similar block of code that was added by conda. In my case, there's a conda configuration setting to disable the automatic base activation:
conda config --set auto_activate_base false
The first time you run it, it'll create a ./condarc
in your home directory with that setting to override the default.
This wouldn't de-clutter your .bash_profile
but it's a cleaner solution without manual editing that section that conda manages.