Question

Cum se rezolva exercitiul cer rezlovare completa , multumesc :*
 1 . Comparati numerele :

x=2 la puterea 60 si y= 3 la puterea 40 

Answer 1

2¹=(...2)
2²-(.....4)
2³=(....8)
2⁴=(......6)
2⁵=(.....2)    se repeta din 4 in 4
60:4=15
2⁶°=(.......2)

3¹=(......3)
3²=(.....9)
3³=(.....7)
3⁴=(.....1)
3⁵=(......3)    se repeta din 4 in 4
40:4=10
3⁴°=(......3)         2⁶°<3⁴°    (.....2)<(......3)

Answer 2

x= $2^{60}$ 
y=$3^{40}$
y=$(2+1)^{40}$
y=$2^{40} +1$
$2^{60}$  > $2^{40} +1$ ....
=> X >Y