According to [1], there are 2 ways. The first method of using session doesn't seem to work on our 10.8 Notebook instance.
!conda install --yes -c esri arcgis Solving environment: | Killed
In 10.7.1 Notebook instance, you get an installation error.
NameError: name 'get_ipython' is not defined jupyter nbextension command failed: map widgets in the jupyter notebook may not work, installation continuing...
This works only for 10.7.1 Notebook instance.
Type !conda update -n base -c defaults conda