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.