Răspuns:
[tex]45 = {3}^{2} \times 5[/tex]
[tex]30 = 2 \times 3 \times 5[/tex]
[tex](45.30) = 3 \times 5 = 15[/tex]
[tex] {2}^{45} = ( {2}^{3} )^{15} = {8}^{15} [/tex]
[tex] {5}^{30} = ( {5}^{2} )^{15} = {25}^{15} [/tex]
[tex] = > {2}^{45} < {5}^{30} [/tex]
