Question

So sánh \(27^{15}\) và\(81^{11}\)

Answer 1

Ta có:\(27^{15}=\left(3^3\right)^{15}=3^{45}\)

\(81^{11}=\left(3^4\right)^{11}=3^{44}\)

Vì \(3^{45}>3^{44}\Rightarrow27^{15}>81^{11}\)

Answer 2

Ta có : \(27^{15}=\left(3^3\right)^{15}=3^{3.15}=3^{45}\)

\(81^{11}=\left(3^4\right)^{11}=3^{4.11}=3^{44}\)

Vì : \(3^{45}>3^{44}\Rightarrow27^{15}>81^{11}\)

Answer 3

Ta có:

27¹⁵ = (3³)¹⁵ = 3⁴⁵

81¹¹ = (3⁴)¹¹ = 3⁴⁴

Ta thấy: 45> 44 hay 3⁴⁵ > 3⁴⁴

\(\Rightarrow\) 27¹⁵ > 81¹¹