co: 2^91 = (2^13) ^7

5^35 = (5^5)^7

suy ra 2 mu 91 lon hon 5 mu 35

Ta có:

2⁹¹ = (2¹³)⁷ = 8192⁷

5³⁵ = (5⁵)⁷ = 3125⁷

Vì 8192⁷ > 3125⁷

=> 2⁹¹ > 5³⁵

Ta có:\(2^{91}=2^{13.7}=\left(2^{13}\right)^7=8192^7\)
\(5^{35}=5^{5.7}=\left(5^5\right)^7=3125^7\)
Vì 8192 > 3125 nên \(2^{91}>5^{25}\)

2⁹¹=(2¹³)⁷=8192⁷

5³⁵=(5⁵)7=3125⁷

Vì 8192>3125 nên 8192⁷>3125⁷ hay 2⁹¹>5³⁵

2^91>5^35 nha bạn

2⁹¹ = 2⁹⁰ . 2 = (2²)⁴⁵ . 2 = 4⁴⁵ . 2

Vì 4⁴⁵ . 2 > 3³⁵

=> 2⁹¹ > 3³⁵

1) Ta có:

12⁸ = (2².3)⁸ = 2¹⁶.3⁸

8¹² = (2³)¹² = 2³⁶ = 2¹⁶.2²⁰ = 2¹⁶.(2²)¹⁰ = 2¹⁶.4¹⁰

Vì 2¹⁶.3⁸ < 2¹⁶.4¹⁰

=> 12⁸ < 8¹²

2) Ta có:

(-5)³⁹ = -5³⁹ = -(5³)¹³ = -125¹³

(-2)⁹¹ = -2⁹¹ = -(2⁷)¹³ = -128¹³

Vì -125¹³ > -128¹³

=> (-5)³⁹ > (-2)⁹¹