Used nuclear fuel ("waste") is recyclable. Today's reactors use Uranium-235 as fuel, but only about 3% of each fuel bundle is made of that isotope. The rest is made of Uranium-238. Fast reactors, like Terrapower's Molten Chloride Fast Reactor, or Russia's BN-800, can convert the Uranium-238 to Plutonium-239 and use it as fuel.
You could power the entire US electricity grid off of the energy in nuclear waste for almost 100 years. If you recycle the waste, the final waste that is left over decays to harmlessness within a few hundred years, rather than about 10,000 years as with standard (unrecycled) nuclear waste. Of course- no one has ever been harmed by used nuclear fuel, so storing it isn't a huge technical challenge either.
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