Răspuns:
Explicație pas cu pas:
a)
4^37 = (2^2)^37 = 2^74
2^72 < 4^37
b)
100^10 = (10^2)^10 = 10^20
10^100 < 100^10
c)
9^30 = (3^2)^30 = 3^60
27^10 = (3^3)^10 = 3^30
9^30 > 27^10
d)
32^20 = (2^5)^20 = 2^100
16^25 = (2^4)^25 = 2^100
32^20 = 16^25
e)
81^20 = (9^2)^20 = 9^40
9^40 = 81^20
f)
3^45 = (3^3)^15 = 27^15
2^30 = (2^2)^15 = 4^15
3^45 > 2^30
g)
6^120 = (6^3)^40 = 216^40
5^80 = (5^2)^40 = 25^40
6^120 > 5^80
h)
200^30 = (2*100)^30 = 2^30*100^30 = 2^30*(10^2)^30 = 2^30*10^60
8^10*10^60 = (2^3)^10*10^60 = 2^30*10^60
200^30 = 8^10*10^60
i)
3^55 = (3^5)^11 = 243^11
2^88 = (2^8)^11 = 256^11
3^55 < 2^88
