Question

So sánh  2 lũy thừa sau:

5³⁶ và 11²⁴

Answer 1

Ta có :

5³⁶ = ( 5⁶ )⁶ = 15625⁶

11²⁴ = ( 11⁴ )⁶ = 14641⁶

=> 15625⁶ > 14641⁶

=> 5³⁶ > 11²⁴

Answer 2

Ta có: \(5^{36}=\left(5^3\right)^{12}=125^{12}\)

Lại có: \(11^{24}=\left(11^2\right)^{12}=121^{12}\)

mà\(121^{12}< 125^{12}\)

Suy ra: \(5^{36}>11^{24}\)

mình nha

Answer 3

So sánh  2 lũy thừa sau:

\(5^{36}\) và \(11^{24}\)

Ta có:

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

\(11^{24}=\left(11^2\right)^{^{12}}=121^{12}\)

Vì 125=125 nên \(125^{12}>121^{12}\) hay \(5^{36}>11^{24}\).

Answer 4

5³⁶ > 11²⁴

Answer 5

Ta có : \(5^{36}=\left(5^3\right)^{12}=125^{12}\)

         \(11^{24}=\left(11^2\right)^{12}=121^{12}\)

dO :\(125^{12}>121^{12}\Rightarrow5^{36}>11^{24}\)