Question

So sánh : 2⁹¹và 5³⁵

Answer 1

2⁹¹= (2¹³)⁷

5³⁵=(5⁵)⁷

vì 2¹³ > 5⁵ => 2⁹¹ > 5³⁵

Answer 2

2⁹¹=(2¹³)⁷

5³⁵=(5⁵)^7.

So sánh 2¹³ vs 5⁵ là ok

Answer 3

Ta có: 

2⁹¹ = (2¹³)⁷ = 8192⁷ 

5³⁵ = (5⁵)⁷ = 3125⁷

Mà 8192⁷ > 3125⁷

=> 2⁹¹ > 5³⁵

Vậy ________.

Answer 4

\(2^{91}>5^{35}\)

Answer 5

\(2^{91}\)>2\(^{90}\);5\(^{35}\)<5\(^{36}\)

Mà 5\(^{36}\)=(5\(^2\))\(^{18}\)=25\(^{18}\)

     2\(^{90}\)=(2\(^5\))\(^{18}\)=32\(^{18}\)

25\(^{18}\)<32\(^{18}\)suy ra 2\(^{91}\)>2\(^{90}\)>5\(^{36}\)>5\(^{35}\)