We're converting from deciliters to milliliters, but we do not have a conversion factor memorized that goes directly from deciliters to milliliters, so we'll go through the basic unit when is liters, and then from liters we'll go into milliliters.
We write what we're given which is 1.26 times 10 to the 6th deciliters. We always are going to multiply. We're going to get rid of deciliters, so those units will go on the bottom. And we'll put liters on top.
We know that 1 deciliter is equal to 10 to the minus 1 liters. That's a conversion factor that we have memorized. The power of 10 always go in front of basic unit and a 1 always goes in front of the unit with the prefix. Deciliters will factor out. We multiply again the liters will go on the bottom and the milliliters will go on top. Again, a 1 in front of the prefix and in front of liters we're going to put 10 to the minus 3rd because we know that one milliliter is 10 to the minus third liters. Liters will factor out and we're left with the units we want which is milliliters. Now, as far as the exponents go, we have a 6 here, a minus 1, so any exponents that are on the top we're going to add. So 6 plus a minus 1 is 5. Any exponents that are on bottom we're going to subtract. We're going to subtract a minus 3, that's the same as adding 3, so 6 plus a minus 1 is 5, minus the minus 3 that's the same as adding 3. That will give us 1.2 times 10 to the 8th milliliters.