Question

So sánh:\(2^{90}\)và \(5^{36}\)

Answer 1

Ta có: \(2^{90}=\left(2^5\right)^{18}=32^{18}\\ 5^{36}=\left(5^2\right)^{18}=25^{18}\)

Vì \(32>25\) nên \(32^{18}>25^{18}hay2^{90}>5^{36}\)

Vậy \(2^{90}< 5^{36}\)

Answer 2

2⁹⁰=(2¹⁰)⁹=1024⁹

5³⁶=(5⁴)⁹=625⁹

Vì 625<1024 nên 625⁹<1024⁹

​Vậy 2⁹⁰>5³⁶