Răspuns:
[tex] {5}^{61} = {5}^{60 + 1} = {5}^{60} \times {5}^{1}[/tex]
[tex]4 \times {5}^{60} [/tex]
5>4 deci
[tex] {5}^{61} > 4 \times {5}^{60} [/tex]
Explicație pas cu pas:
[tex] {6}^{53} = {6}^{52 + 1} = {6}^{52} \times {6}^{1} [/tex]
[tex] 7 \times {6}^{52} [/tex]
6<7 deci
[tex] {6}^{53} < 7 \times {6}^{52} [/tex]
[tex] {7}^{24} = {7}^{23 + 1} = {7}^{23} \times {7}^{1} [/tex]
[tex]8 \times {7}^{23} [/tex]
7<8 deci
[tex]8 \times {7}^{23} > {7}^{24} [/tex]
