Răspuns:
[tex] {8}^{33} = ( {2}^{3} )^{33} = {2}^{99} [/tex]
[tex] {4}^{32} = ( {2}^{2} )^{32} = {2}^{64} [/tex]
[tex] ({2}^{5} \times {2}^{20} )^{5} = {2}^{125} [/tex]
[tex]16 \times {2}^{23} = {2}^{4} \times {2}^{23} = {2}^{27} [/tex]
[tex]x = {2}^{99} \div ( {2}^{64} \times {2}^{34} + {2}^{125} \div {2}^{27} + 0)[/tex]
[tex] x = {2}^{99} \div ( {2}^{98} + {2}^{98} )[/tex]
[tex]x = {2}^{99} \div {2}^{98} (1 + 1)[/tex]
[tex]x = {2}^{99} \div {2}^{99} [/tex]
[tex]x = 1[/tex]
[tex]y = (11 \times 18 + 1) \times 1 - 18[/tex]
[tex]y = 181[/tex]
[tex] {x}^{y} = {1}^{181} = 1[/tex]
[tex] {y}^{x} = {181}^{1} = 181[/tex]
[tex]1 + 181 = 182[/tex]
