Question

So sánh

2⁹¹ và 5³⁵

Answer 1

Ss:\(2^{91}\) và 5³⁵

Ta có ƯCLN(91;35)=7

\(2^{91}=\left(2^{13}\right)^7=8192^7\)

\(5^{35}=\left(5^5\right)^7=3125^7\)

\(\Rightarrow8192^7>3125^7\)

Vậy:\(2^{91}>5^{35}\)

Answer 2

T/ có: 2⁹¹= 2^13.7=(2¹³)⁷=8192⁷
5³⁵=5^5.7=(5⁵)⁷=3125⁷
Vì 8192⁷>3125⁷ nên 2⁹¹>5³⁵

Answer 3

\(2^{91}=2^{13.7}=\left(2^{13}\right)^7=8192^7\)

\(5^{35}=5^{5.7}=\left(5^5\right)^7=3125^7\)

Vì \(8192>3125\)

Nên \(8192^7>3125^7\)

Vậy \(2^{91}>5^{35}\)