read previous pages for discussion about this.
basically TDP for 7970 is around 250w, and people have been running cards like 4870x2 with those 2 power connectors, and that card has TDP around 300w.
And I can specifically state that a 4870x2 running via the internal 6 pins
will NOT work. With both this card and a 9800GX2 I experienced crashes during high graphic demands. These crashes were fixed by using external PCIE power supply.
That said, I think a 7970 could POSSIBLY work as it draws less than those.
The SMART thing would be for someone to make a special set of plugs where the 2 extra ground wires are run to the 2 different Apple 6 pin plugs. That way instead of one being tasked with 150W and the other 75W, it could be evenly split across them.
The crashes with the 4870x2 were on a Quad 3.0 2006 using all internal power. Very dramatic as once it happened when I blew up a gas station in "Crysis", made the explosion much more real as Mac & 30" display shut off with one loud "click" of relays snapping open in PSU, mid explosion. I do not believe that Dual GPU cards are going to be possible on internal only power.
The other question is whether the card actually REQUIRES the presence of 8 pins. The 8 pin input on a GPU can physically accept the usual 6 pin plug. Whether this allows card to work is decided by power sensing circuitry. While a GTX480 will not work using 2 @ 6pins, a Quadro 6000 has an 8 pin input, but if a 6 pin is plugged in, it still works. I seem to recall reading that some 4870s (Not the aforementioned Dual x2 variety) had 8 pin plugs but would work with just 6.
So the numbers I looked up showed 7970 using less power than GTX470, which CAN run on internal 2 @ 6pin. SO possible it can work, but best if someone comes up with new power adapter that spreads additional grounding over more wires.