Răspuns:
a)
[tex] ({3}^{9} )^{4} = {3}^{9 \times 4} = {3}^{36} [/tex]
[tex]( {3}^{13} )^{3} = {3}^{13 \times 3} = {3}^{39} [/tex]
[tex] {9}^{16} = ( {3}^{2} )^{16} = {3}^{32} [/tex]
[tex] {3}^{32} < {3}^{36} < {3}^{39} [/tex]
b)
[tex]( {2}^{2} )^{30} = {2}^{60} [/tex]
[tex] {2}^{6 + 11 +14 } = {2}^{31} [/tex]
[tex] {2}^{2 \times 5 \times 3} = {2}^{30} [/tex]
[tex] {2}^{30} < {2}^{31} < {2}^{60} [/tex]
