Question

Se considera numerele a=2⁸⁷ si b=3⁵⁸.Comparati numerele a si b.

Answer 1

$a=2^{87}=(2^3)^{29}=8^{29}. \\ \\ b=3^{58}=(3^2)^{29}=9^{29}. \\ \\ 8\ \textless \ 9 \Leftrightarrow 8^{29}\ \textless \ 9^{29} \Leftrightarrow \boxed{a\ \textless \ b}$

Answer 2

$a=2^8^7=(2^3)^2^9=8^2^9 \\ b=3^5^8=(3^2)^2^9=9^2^9 \\ a\ \textless \ b$