Question

Comparati urnatoarele puteri: 5 la puterea 60. 3 la puterea 100. Si 7 la puterea 80

Answer 1

$3^{100}=(3^{5})^{20}$
$7^{80}=(7^{4})^{20}$
[tex]5^{60}=(5^{3})^{20} [/tex]
Deci se compara 3^5;7^4;5^3
3^5=243
7^4=2401;(343*7)
5^3=125
inseamna ca 5^60<3^100<7^80