Hello. Yes, it is quite simple to remove the battery of a Logitech MX Revolution mouse yet for some reason when going through the Logitech product support website it states that it is not possible. Just remove the 4 teflon pads located on the bottom of the mouse and then remove the four screws located under the pads. Once this is done turn the mouse back upright and remove the top off of the mouse. I would suggest temporarily removing the flex cable that holds the top and bottom of the mouse together. There is a small metal clip that holds the battery in place that must now be removed.
NOW FOR THE VERY IMPORTANT PART. There are two different generations of the Logitech MX Revolution mouse which have different batteries. The first Generation uses the L-LY11 battery and the newer generation of the MX Revolution uses the L-LL11 battery. There is no way to tell which battery your mouse uses without first opening up the mouse. Once opened you can easily tell which battery your mouse uses. Here is a link to a site that shows you an example of the L-LY11 battery: MX Revolution L-LY11 Battery
Here is a link to a site that shows you an example of the L-LL11 battery: L-LL11 Battery for Logitech MX Revolution Mouse
As you can see the L-LY11 battery has wires and a plastic connector and the L-LL11 battery has contacts. You should definitely determine which battery your mouse uses ahead of time to eliminate any frustration caused by ordering the wrong battery ahead of time.