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For how many positive integers n > 1 is it true that 2^{24}*2^{36} is a perfect nth power?

 Jan 26, 2022
 #1
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There are 8 perfect nth power as follows:

4096^ 5
1024^ 6
64^ 10
32^ 12
16^ 15
8^ 20
4^ 30
2 ^60

 Jan 26, 2022

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