Scott, while I don't mean to deflate in any sense the shattering import of your wisdom...

...there's a pretty large segment of the planetary population upon whom the distinction between "polynomially more computing power" and "exponentially more computing power" would be lost.

These unenlightened fools, if they had computing power N, would be just as impressed by a superintelligence that had N^googol computing power as a superintelligence that had 2^N computing power. They'd just lump both of those together as "the environment is smarter than me, and can prove things I can't and then exhibit the proof". Poor bastards.