Question

So sanh 2^180 va 5^22

Answer 1

Ta có:\(2^{180}>2^{55}=\left(2^5\right)^{11}=32^{11}\)(1)

          \(5^{22}=\left(5^2\right)^{11}=25^{11}\)

Mà \(25< 32\Rightarrow25^{11}< 32^{11}\Rightarrow5^{22}< 2^{55}\Rightarrow5^{22}< 2^{180}\)

Vậy \(2^{180}>5^{22}\)

Answer 2

Có: 2^180 = (2^5)^36 = 32^36

5^22 = (5^2)^11 = 25^11 < 32^11 < 32^36

=> 2^180 > 5^22

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