I contacted AMD support and I was told that it's a faulty card and that I should come here for support instead. I have the R9 270 and it appears to be faulty. I successfully installed the card and driver, and when I restarted the computer it worked. I then went to bed and when I woke up and turned on my computer, the monitor wasn't getting anything. Since then, I haven't been able to get the card to work at all.
Faulty Card
Can you test the card at the shop where you bought the card?
Please make sure that you have applied the latest BIOS updates on your mainboard, make sure that the Windows operating system is up to date and download the latest Catalyst driver.
Make sure that the power supply has sufficient power and the PCI-E 6 pin power connector is connected.
Regards
I bought the card online, the BIOS is updated, Windows is updated, and I have the latest Catalyst software (if 14.12 is the latest).
It's a 650W Power Supply, which I believe is enough and the PCI-E was properly connected.
There is, unfortunately, no way for me to test the graphics card separately from the computer at this time.