Because of the extremely high energy density of nuclear fuel, the amount of waste produced per Gigawatt-year of electricity generated is very small.

A Saturn V has a payload of 140 Mt to low earth orbit. Total high-level waste is 22,000 cubic meters, possibly 220,000 Mt, assuming a density 10 times as great as water. 1,572 Saturn V launches would carry away all of that. All the high-level waste ever produced that has not been recycled. Most of it can be recycled in breeder reactors, so there is no need to carry it away!