Question

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

plzzz dau inima.

Answer 1

Explicație pas cu pas:

${2}^{51} = {( {2}^{3} )}^{17} = {8}^{17}$

${3}^{34} = {( {3}^{2} )}^{17} = {9}^{17}$

${8}^{17} < {9}^{17} \implies \bf {2}^{51} < {3}^{34}$

${4}^{115} = {( {4}^{5} )}^{23} = {1024}^{23}$

${5}^{92} = {( {5}^{4} )}^{23} = {625}^{23}$

${1024}^{23} > {625}^{23} \implies \bf {4}^{115} > {5}^{92}$