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

 Nov 1, 2021
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Your number ==2^60  is a perfect nth power for following values of n:

 

n ==2, 4, 8, 16, 32, 64, 1024,  4096, 32768, 1073741824==10 such values.

 Nov 1, 2021

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