Question

So sánh  10³⁰ và 2¹⁰⁰

Answer 1

\(10^{30}=\left(10^3\right)^{10}=1000^{10};2^{100}=\left(2^{10}\right)^{10}=1024^{10}\)

\(1000^{10}<1024^{10}\)

Do đó 2¹⁰⁰ > 10³⁰

Answer 2

10³⁰<2¹⁰⁰

Answer 3

\(10^{30}=10^{3.10}=\left(10^3\right)^{10}=1000^{10}\)

\(2^{100}=2^{10.10}=\left(2^{10}\right)^{10}=1024^{10}\)

Vì \(1000^{10}<1024^{10}\)

Nên \(10^{30}<2^{100}\)