Exploding Dice
Exploding dice means that if you roll the max value possible on a given die, then you roll that die again and add the results together.
This process repeats until you do not roll the max value on the die.
For example, you roll an 8 on your d8. You roll again; another 8. You roll again; a 5. Your total for this roll is 8 + 8 + 5 = 21.