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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Whatâ€™s Gregâ€™s mistake though?

Thanks a lot. That helped!!

The outside middle 32 was raised to 32 itselfâ€¦ 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 thatâ€™s correct. The question is **not** (32)^{(32^{32})}. Remember: exponents come first, so youâ€™re multiplying 32^{32} 32 times.