Quoted from ForceFlow:
If it was working prior to the caps blowing and there's no other visible damage, then it's more likely than not that replacing the caps could bring it back to life.
However, if you have no history about the board, the caps are easy enough to replace as a starting point.
^ This ^
Although tantalums are wonderful caps for stability and long life (yes, this IS true) - be aware that tantalums are notorious for catastrophic failures when the slightest negative voltage or excessive voltage is applied. If this happened, the bad tantalums could be just the tip of the iceburg.
When replacing tantalums, I prefer to increase the voltage ratings up to the next voltage level.