2^(1/2),3^(1/3),5^(1/5)同时60次方(2^(1/2))^60=2^30=(2^3)^10=8^10(3^(1/3))^60=3^20=(3^2)^10=9^10 ==>2^(1/2)<3^(1/3)2^30=(4^5)^3=1024^3(5^(1/5))^60=5^12=(5^4)^3=625^3 ==>5^(1/5)<4^(1/4)所以5^(1/5)<2^(1/2)<3^(1/3)