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

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

5^91>11^59

cok cần giải thích ko bn???

Trả lời :..............................................

.\(5^{91}>11^{59}\)

Hk tốt,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

k nhé

5⁹¹>5⁹⁰=(5³)³⁰=125³⁰

11⁵⁹<11⁶⁰=(11²)³⁰=121³⁰

=>125³⁰>121³⁰ mà 5⁹¹>125³⁰>121³⁰>11⁵⁹

=>5⁹¹>11⁵⁹

^{vậy .....}

Ta có : 2⁹¹ = 2^13.7 = (2¹³)⁷ = 8192⁷

            5³⁵ = 5^5.7 = (5⁵)⁷ = 3125⁷

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

2⁹¹=(2¹³)⁷=8192⁷

5³⁵=(5⁵)⁷=3125⁷

vì 8192⁷>3125⁷nên 2¹⁹>5³⁵

chúc bạn học tốt!!!

\(2^{91}=\left(1.2\right)^{91}=1^{182}\)

\(5^{35}=\left(1.5\right)^{35}=1^{175}\)

Vù 182 lớn hơn 175 nên \(1^{182}>1^{175}\)

Vậy \(2^{91}>5^{35}\)