Question

a,so sánh 3⁴⁰⁰⁰va 9²⁰⁰⁰ bang 2cach

b,so sanh 2³³² va 3²²³

 

Answer 1

a) ta có: 3⁴⁰⁰⁰ = (3⁴)¹⁰⁰⁰  = 81¹⁰⁰⁰

9²⁰⁰⁰ = (9²)¹⁰⁰⁰ = 81¹⁰⁰⁰

=> ....

C2: ta có: 9²⁰⁰⁰ = (3²)²⁰⁰⁰= 3⁴⁰⁰⁰

Answer 2

b) ta có: 2³³² < 2³³³ = (2³)¹¹¹ = 8¹¹¹

3²²³ > 3²²² = (3²)¹¹¹ = 9¹¹¹

=> 8¹¹¹ < 9¹¹¹

=> 2³³² < 3²²³

Answer 3

a) cách 1 :3⁴⁰⁰⁰= 3^4x1000= (3⁴)¹⁰⁰⁰=81¹⁰⁰⁰

                  9²⁰⁰⁰= 9^2x1000=(9²)¹⁰⁰⁰=81¹⁰⁰⁰

            ta thấy : 81¹⁰⁰⁰=81¹⁰⁰⁰  => 3⁴⁰⁰⁰=9²⁰⁰⁰

  Cách 2:  9²⁰⁰⁰= (3²)²⁰⁰⁰= 3^2x2000=3⁴⁰⁰⁰

           ta thấy ;   3⁴⁰⁰⁰=3⁴⁰⁰⁰  => 3⁴⁰⁰⁰=9²⁰⁰⁰

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Answer 4

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2^333=[(2)^3]^111=8^111 

3^223 > 3^222 
3^222=[(3)^2]^111=9^111 

Đáp số: 
3^223 > 2^332

Answer 5

a)  3⁴⁰⁰⁰=(3²)²⁰⁰⁰=9²⁰⁰⁰

9²⁰⁰⁰=(9¹)²⁰⁰⁰=9²⁰⁰⁰

Vì 9²⁰⁰⁰=9²⁰⁰⁰

Nên3⁴⁰⁰⁰=9²⁰⁰⁰

Answer 6

a)3⁴⁰⁰⁰=3^2.2000=9²⁰⁰⁰:C1

9²⁰⁰⁰=(3²)²⁰⁰⁰=9²⁰⁰⁰:C2

Answer 7

a) C1: 9^2000=(3^2)^2000=3^4000

=> 9^2000=3^4000

C2 : 3^4000=(3^4)^1000=81^1000

9^2000=(9^2)^1000=81^1000

=>....