Question

So sánh 2⁹⁰  và   5³⁶

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

=>\(32^{18}>25^{18}\)

=>\(2^{90}>5^{36}\)

Vậy...........

Answer 2

\(2^{90}=\left[2^{10}\right]^9=1024^9\)

\(5^{36}=\left[5^4\right]^9=625^9\)

Vì \(1024^9< 625^9\)

nên \(2^{90}< 5^{36}\)

Answer 3

2⁹⁰ = ( 2⁵ )¹⁸ = 32¹⁸

5³⁶ = ( 5² )¹⁸ = 25¹⁸

Vì 36¹⁸ > 25¹⁸

Nên 2⁹⁰ > 5³⁶