but in the solution he solved like this:
Does anybody know the correct way to solve?
look at this:https://gmatclub.com/forum/what-is-the-remainder-when-32-32-32-is-divided-by-100316.html
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What’s Greg’s mistake though?
Thanks a lot. That helped!!
The outside middle 32 was raised to 32 itself… kind of like 32^(32^32). but greg ignored the parenthesis, and solved it like (32^32)^32. This leads luckily to same answer, but approach is wrong there.
But that’s correct. The question is not (32)^{(32^{32})}. Remember: exponents come first, so you’re multiplying 32^{32} 32 times.