Question

So sánh 
2¹⁰⁰⁰ và 5⁴⁰⁰

Answer 1

\(=\left(2^5\right)^{200}\)\(và\)\(\left(5^2\right)^{200}\)

\(\Rightarrow32^{200}>25^{200}\)\(\Rightarrow2^{1000}>5^{400}\)

Answer 2

Ta có:

2\(^{1000}\)=2\(^{10\cdot100}\)=(2\(^{10}\))\(^{100}\)=1024\(^{100}\)

5\(^{400}\)=5\(^{4\cdot100}\)=(5\(^4\))\(^{100}\)=625\(^{100}\)

Vì 1024<625 nên 1024\(^{100}\)<625\(^{100}\)Hay 2\(^{1000}\)<5\(^{400}\)

Answer 3

\(1024>625\)mà bn