Well, no 5570 ever made required a 6-pin PCIe connector, so we don't know that he has one. Whether you can run that card in your system depends on the quality of your PSU. If it's a reputable brand and can actually put out 500w DC, then you'll have no problem running a 7850 off of it. If this is the case it will most likely have the PCIe power connector you need as well. If it's a "500w" power supply that's unbranded and doesn't have the connector, then I'd recommend getting that power upgrade before trying out the new card.