Răspuns:
a)
[tex]\bf 5^{18}=\big(5^2\big)^9=\blue{\underline{~25^9~}}[/tex]
[tex]\bf 3^{27}=(3^3)^9=\green{\underline{~27^9~}}[/tex]
[tex]\bf 25^9<27^9\implies \red{\boxed{\bf ~5^{18}~<~3^{27}~}}[/tex]
b)
[tex]\bf 9^{29} =\big( 3^{2} \big)^{29}=3^{2\cdot29}=\blue{\underline{~3^{58}~}}[/tex]
[tex]\bf27^{19}=\big(3^3\big)^{19}=3^{3\cdot19}=\purple{\underline{~3^{57}~}}[/tex]
[tex]\bf 3^{58}~>~3^{57}\implies \pink{\boxed{\bf~9^{29}~>~27^{19}~}}[/tex]
