Question

So sánh các lũy thừa

13^{40 và} 2¹⁶¹

Answer 1

Ta có : 2^161 > 2^160

Mà 2^160 = (2^4)^40 = 16^40 > 13^40

Suy ra 2^160 > 13^40 => 2^161 > 13^40

Vậy 2^161 > 13^40

Answer 2

Ta có \(13^{40}<16^{40}=\left(2^4\right)^{40}=2^{160}<2^{161}\)

=>\(13^{40}<2^{161}\)

Answer 3

\(13^{40}<16^{40}=2^{4^{40}}=2^{160}<2^{161}=>13^{40}<2^{161}\)