Order from smallest to largest: 21/2,21/3,21/4,21/52^{1/2}, 2^{1/3}, 2^{1/4}, 2^{1/5}21/2,21/3,21/4,21/5
21/5<21/4<21/3<21/22^{1/5} < 2^{1/4} < 2^{1/3} < 2^{1/2}21/5<21/4<21/3<21/2
21/2<21/3<21/4<21/52^{1/2} < 2^{1/3} < 2^{1/4} < 2^{1/5}21/2<21/3<21/4<21/5
21/3<21/4<21/5<21/22^{1/3} < 2^{1/4} < 2^{1/5} < 2^{1/2}21/3<21/4<21/5<21/2
21/4<21/3<21/5<21/22^{1/4} < 2^{1/3} < 2^{1/5} < 2^{1/2}21/4<21/3<21/5<21/2