Question

Comparați nr a= 3 la puterea 20 si b= 2 la puterea 30.

Answer 1

$3^{20}=(3^2)^{10}=9^{10}$

$2^{30}=(2^3)^{10}=8^{10}$

$3^{20}>2 ^{30}$ sau a>b

Answer 2

[tex]a=3^{20}= (3^{2}) ^{10};~\underline{a= 9^{10}} \\ b=2^{30}= (2^{3}) ^{10};~\underline{b= 8^{10}}. \\ In~concluzie,~a>b.[/tex]