Question

so sánh : 2⁹¹ và 5³⁵

Answer 1

2⁹¹ = (2¹³)⁷

5³⁵ = ( 5⁵)⁷

vì 2¹³ > 5⁵ => 2⁹¹ > 5³⁵

Answer 2

2⁹¹ = (2¹³)⁷

5³⁵ = (5⁵)⁷

Mà 2¹³ > 5⁵ => 2⁹¹ > 5³⁵

Answer 3

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 \(8192>3125\Rightarrow2^{91}>5^{35}\)

Answer 4

\(2^{91}\)\(=\left(2^7\right)^{13}=128^{13}\)

5\(5^{35}\le5^{36}=\left(5^3\right)^{12}=\ 125^{12}\)

thấy lớn bé chưa :))