Alan Caldwell :
Yes you can, but why an old R9 270X? Get a better newer card like a GTX 1050. Which PSU do you have?
Any mobo that has a PCI-e x16 slot will support any graphics card irrespective of memory type. As for your mobo it has a PCI-e x16 slot, so it is supported.
Actually, better isn't quite the right word, newer works. The R9 270x is actually pretty comparable to the 1050.
The R9 270x would definitely play games with a Pentium. There might be a slight CPU bottleneck, but you should be pretty happy with the performance Also, your PSU is plenty for a Pentium and a 270X. It should make a pretty good budget gaming machine.