Sure. The only difference is the amount of power used and the manufacturers minimum power requirements is likely overstated.
You may want to consider an HD5770 instead however. It offers similar performance while using less power, offers DX11 compatibility and 3 monitor support. It's also usually slightly cheaper these days.
ok well im looking to play games like modern warfare 2 and left for dead 2 on max. the 5570 is manufactured by ati correct? would it be compatible with my motherboard?