Question

Ordonați descrescător:
A)8^13 ; 16^10 ; (2^12)^3.
B)3^70 ; 9^36 ; 54^23:2^23.
C)5^126 ; 25^65 ; 125^45.
D)2^9^3 ; 16^160 ; 160^140:5^140.
E)7^205 ; (7^40)^5 ; 49^10^2.
F)15^105:5^105 ; 9^51 ; 27^33.

Answer 1

A)
8^13 =(2^3)^13=2^39           
16^10=(2^4)^10=2^40
(2^12)^3=2^36
in ordine descrescatoare  2^40  ,  2^39,  2^36

B)
3^70
9^36 =3^72
54^23:2^23=27^23×2^23:2^23= 27^23=3^69
in ordine descrescatoare  3^72  ,  3^70,  3^69

C)
5^126
25^65=5^130
125^45=5^135
in ordine descrescatoare  5^135  ,5^130  5^126 

D)
2^9^3=2^729
16^160=2^640
160^140:5^140=32^140×5^140:5^140=2^700
in ordine descrescatoare  2^729  ,2^700  2^640 

 E)
7^205
(7^40)^5=7^200
49^10^2=(7^2)^100=7^200
in ordine descrescatoare  7^205  ,7^200 = 7^200 

F)
15^105:5^105 =3^105×5^105:5^105 =3^105
9^51=3^102
27^33 =3^99
in ordine descrescatoare  3^105  ,3^102 , 3^99