Question

[Violympic em giỏi toán]

So sánh 2⁹⁰ và 5³⁶

Answer 1

[Trần Huy Hoàng VIP]

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

\(5^{36}=\left(5^2\right)^{18}=25^{18}\)

Vì \(32^{18}>25^{18}\)

Vậy \(2^{90}>5^{36}\)

Answer 2

[Phương Thảo Linh 0o0]

 Ta có:

 \(2^{90}=\)\(2^{5.18}=\left(2^5\right)^{18}=32^{18}\)

\(5^{36}=5^{2.18}=\left(5^2\right)^{18}=25^{18}\)

Vì \(32^{18}>25^{18}\Rightarrow2^{90}>5^{36}\)