Question

So sánh \(2^{90}và5^{36}\)

Answer 1

Ta có: 2⁹⁰ = (2¹⁰)⁹ = 1024⁹

5³⁶ = (5⁴)⁹ = 625⁹

Ta thấy: 1024⁹ > 625⁹

nên 2⁹⁰ > 5³⁶

Answer 2

Ta có:

2⁹⁰ = 2^{5 . 18} = (2⁵)¹⁸ = 32¹⁸

5³⁶ = 5^{2 . 18} = (5²)¹⁸ = 25¹⁸

Vì 32 > 25 nên 32¹⁸ > 25¹⁸. \(\Rightarrow\) 2⁹⁰ > 5³⁶

Vậy...

Answer 3

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

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

Vì \(32>25\)

Nên \(32^{18}>25^{18}\)

Vậy \(2^{90}>5^{36}\)