Question

aratati ca 3 la puterea 1987 mai mare decat 4 la puterea 1490

Answer 1

[tex]3^{1987}=3\cdot3^{1986}=3\cdot(3^2)^{993}=3\cdot9^{993}\ \textgreater \ 3\cdot8^{993}=3\cdot(2^3)^{993}=\\ =3\cdot2^{2979}\ \textgreater \ 2\cdot2^{2979}=2^{2980}=(2^2)^{1490}=4^{1490}[/tex]