Question

so sánh:

a,16¹⁹ va 8²⁵

b,27¹¹ va 81⁸ 

c,5³⁶ va 11²⁴

Answer 1

a) Ta có : \(16^{19}=\left(2^4\right)^{19}=2^{4\cdot19}=2^{76}\)

                 \(8^{25}=\left(2^3\right)^{25}=2^{3\cdot25}=2^{75}\)

Vì \(76>75\Rightarrow2^{76}>2^{75}\Rightarrow16^{19}>8^{25}\)

b) Ta có : \(27^{11}=\left(3^3\right)^{11}=3^{3\cdot11}=3^{33}\)

                \(81^8=\left(3^4\right)^8=3^{4\cdot8}=3^{32}\)

Vì \(33>32\Rightarrow3^{33}>3^{32}\Rightarrow27^{11}>81^8\)