I always wondered why everything related to my computing devices seems to follow some variation of Moores law but the battery. This explains it.
By contrast, we seem to have reached the fundamental limits of carbon-zinc batteries a couple of centuries ago, and the fundamental limits of ordinary electrolytic batteries in 1990 with the invention of the lithium battery. (Or maybe the zinc-air battery.) The fundamental limits on chemical energy density seem to be about two or three orders of magnitude from where we started, not 17.
In both cases it's possible to do better by using fundamentally different approaches: microturbines, tiny fuel cells, or betavoltaic batteries in the case of batteries; diamond, three-dimensional structures, and molecular assembly in the case of electronics. But all of these have substantial engineering obstacles.