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camparati nr .
C) a= 3⁴⁵⁴-3⁴⁵³ -3⁴⁵² si b=  5³⁴¹-4·5³⁴⁰
D) a=3⁶⁰³-3⁶⁰⁰si b =2⁶⁰⁵-2⁶⁰⁴+2⁶⁰⁰
E)a=5³⁰-5²⁹-5²⁸ si b=2³²+2²⁹+2²⁸


Răspuns :

C) a= 3⁴⁵⁴-3⁴⁵³ -3⁴⁵² si b= 5³⁴¹-4·5³⁴⁰

a=3⁴⁵²(3²-3¹-3°)=3⁴⁵²x5=(3⁴)¹¹³x5=81¹¹³x5
b=5³⁴°(5-4)=5³⁴°=(5³)¹¹³x5=125¹¹³x5

a<b
D) a=3⁶⁰³-3⁶⁰⁰si b =2⁶⁰⁵-2⁶⁰⁴+2⁶⁰⁰

a=3⁶°°(3³-3°)=3⁶°°x26
b=2⁶⁰⁰(2⁵-2⁴+2⁰)x17

a>b
E)a=5³⁰-5²⁹-5²⁸ si b=2³²+2²⁹+2²⁸


a=5²⁸(5²-5¹-5°)=5²⁸x19
b=2²⁸(2⁴+2¹+2°)=2²⁸x19

a>b
C)
a= 3⁴⁵⁴-3⁴⁵³ -3⁴⁵²=
=
3⁴⁵²(3²-3¹-3°)=
=3⁴⁵²x5=
=(3⁴)¹¹³x5=
=81¹¹³x5

 b= 5³⁴¹-4·5³⁴⁰=
=
5³⁴°(5-4)=
=5³⁴°=
=5
³³⁹x5=
=(5³)¹¹³x5=
=125¹¹⁵x5

81¹¹³x5<125¹¹⁵x5 => a<b

D)
a=3⁶⁰³-3⁶⁰⁰ =
=3⁶°°(3³-3°)=
=3⁶°°x26


 b =2⁶⁰⁵-2⁶⁰⁴+2⁶⁰⁰=
=2⁶⁰⁰(2⁵-2⁴+2⁰)=
=2
⁶⁰⁰x17

a>b

E)a=5³⁰-5²⁹-5²⁸=
=5²⁸(5²-5¹-5°)=
=5²⁸x19

b=2³²+2²⁹+2²⁸=
=2²⁸(2⁴+2¹+2°)=
=2²⁸x19

5²⁸x19> 2²⁸x19 =>a>b