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RE: 222^333 Or 333^222 - Which Is Bigger ?

in StemSocial3 years ago

Yeah that was my guess, cos I figured exponents would count for more than the bases, which in this case had only a third of a difference between them.

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Well, you would need to be very careful there, what would you say about 3² and 2³ ?

Oh that's easy, I would just calculate it :D

I didn't say I knew, I just guessed, as I didn't have the math skills to use any other way, so I kinda used some rough intuition or common sense or whatever you might call it. It just seems natural to me to assume that multiplying 222 111 times more by itself, would result in a greater number, seeing how powerful exponents are. That's not the case with 2 and 3 that are very close (even though the one third difference is still true here) and you're multiplying one of them just one more time by itself. But I don't know if this "intuition" is based on any solid underlying reasoning. It just seems that way to me.