Question

So sánh:

3¹³⁵ với 5⁹⁰

Answer 1

\(3^{125}=3^{3.45}=\left(3^3\right)^{45}=27^{45}\)

\(5^{90}=5^{2.45}=\left(5^2\right)^{45}=25^{45}\)

\(27>25>0\Rightarrow27^{45}>25^{45}\)

\(\Rightarrow3^{135}>5^{90}\)