Explicație pas cu pas:
[tex]a = {( - 3)}^{ {5}^{2} } \div 3 = {( - 3)}^{25} \div 3 \\ = { - 3}^{25} \div 3 = { - 3}^{25 - 1} = { - 3}^{24}[/tex]
[tex] = > a = - {3}^{24} [/tex]
[tex]b = {2}^{ {7}^{2} } \div ( - 8)\div ( {2}^{2} )^{5} = - {2}^{49} \div {2}^{3} \div {2}^{10} = - {2}^{49 - 3}\div {2}^{10} = - {2}^{46}\div {2}^{10} = - {2}^{46 - 10} = - {2}^{36} [/tex]
[tex] = > b = - ( {2}^{2} )^{24} = - {4}^{24} [/tex]
[tex]- {3}^{24} > - {4}^{24} < = > a > b[/tex]
=>
[tex] - a > b[/tex]