RAM doesn't usually take gobs of power to run, so I wouldn't even consider that an issue.
However, what is an issue is, mixing disparate RAM modules. This is never guaranteed to work, and is usually only possible when the modules have some sort of common denominator of settings which they will all happily run at.
You don't happen to mention what sort of CPU you're using, so I will mention that another issue that you have to seriously consider is that AMD has a less than stellar memory controller on their FX line of CPUs, with the older Athlon / Phenom II CPUs having a slightly more tolerant version of it. The AMD memory controller is really only suitable for running 2 modules if the modules are dual-rank, or it can handle 4 modules if the modules are single-rank. Unfortunately, most modules of high density DDR3 are dual-rank. Your 8 GB sticks are going to be dual-rank. Single-rank modules are going to be scarce, if they even exist, so it's a safe bet that you're running dual-rank with possible single-rank 4 GB modules. If you're on an AMD system, I would dial back all of the memory settings as far as possible. You can probably get them going at 1333 MHz, but you may have to fall back to 1066 if you can't.
Yes, you can get four modules of dual-rank memory to run on an AMD platform, but I would learn to live with stability issues.