But Koomey's law (amount of computation per amount of energy doubles about once every 1.57 years) has some hard boundaries that aren't all that far off. Landauer's principle / the Landauer bound will stop Koomey's law for irreversible computation by 2048.
And even for reversible computation there is a limit in the Margolus–Levitin theorem , which Wikipedia says (with a [citation needed] ) should run out within about 125 years, which, admittedly, is substantially more than 32 years.
But still,
the earth is finite. Exponential curves about it tend to be more like logistic?
Finitude. Scary stuff.
One of the reasons we should fear a super AI is that it will be constrained by the laws of physics and so will want to use all the resources within its light sphere efficiently. Humans are not an efficient structure for computation given the how we evolved so any unconstrained AI would likely not hesitate to reorganise us into a more efficient structure.