Salutare !
(A) [tex]\bf 13^{15} > 17^{10}[/tex]
[tex]\bf 13^{15} = (13^{3})^{5} = 2197^{5}[/tex]
[tex]\bf 7^{15} = (7^{3})^{5} = 289^{5}[/tex]
(B) [tex]\bf 3^{100} > 2^{150}[/tex]
[tex]\bf 3^{100} = (3^{4})^{25} = 81^{25}[/tex]
[tex]\bf 2^{150} = (2^{6})^{25} = 64^{25}[/tex]
(C) [tex]\bf 5^{4} <25^{3}[/tex]
[tex]\bf 25^{3} = (5^{2})^{3} = 5^{6}[/tex]
(D) [tex]\bf 5^{8} <125^{3}[/tex]
[tex]\bf 125^{3} = (5^{3})^{3} = 5^{9}[/tex]
(E) [tex]\bf 9^{4} = 3^{8}[/tex]
[tex]\bf 9^{4} = (3^{2})^{4} = 3^{8}[/tex]
==pav38==
