Comparati : 2 la puterea 51 cu 3 la puterea 34
4 la puterea 115 cu 5 la puterea 92

plzzz dau inima.

Explicație pas cu pas:

[tex] {2}^{51} = {( {2}^{3} )}^{17} = {8}^{17} [/tex]

[tex]{3}^{34} = {( {3}^{2} )}^{17} = {9}^{17} [/tex]

[tex]{8}^{17} < {9}^{17} \implies \bf {2}^{51} < {3}^{34} [/tex]

[tex]{4}^{115} = {( {4}^{5} )}^{23} = {1024}^{23}[/tex]

[tex]{5}^{92} = {( {5}^{4} )}^{23} = {625}^{23} [/tex]

[tex]{1024}^{23} > {625}^{23} \implies \bf {4}^{115} > {5}^{92} [/tex]