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

 Apr 28, 2021
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For how many positive integers n > 1 is it true that 2^{24}*2^{36} is a perfect nth power?

 

2^60, (2^2)^30, (2^3)^20, (2^4)^15, (2^5)^12, (2^6)^10, (2^10)^6, (2^12)^5, (2^15)^4. (2^20)^3, (2^30)^2

 

 

You can count.

 Apr 29, 2021

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