Question

comparati nr 5^8 si 2^15+2×4^7​

Answer 1

$5^8\quad\text{cu}\quad 2^{15}+2\cdot 4^7\\5^8\quad \text{cu}\quad 2^{15}+2\cdot 2^{14}\\5^8\quad \text{cu}\quad 2^{15}+2^{15}\\ 5^8\quad \text{cu}\quad 2^{15}\cdot (1+1)\\5^8\quad \text{cu}\quad 2^{15}\cdot 2\\5^8\quad \text{cu}\quad 2^{16}\\ 5^8\quad\text{cu}\quad (2^2)^8\\ 5^8\quad >\quad 4^8\\ \\ \Rightarrow\,5^8>2^{15}+2\cdot 4^7$