Question

Answer 1

a) 3²⁰⁰

b) 7²⁰⁰⁰

Answer 2

\(a,2^{300}=8^{100}< 9^{100}=3^{200}\\ b,7^{2000}=49^{1000}< 125^{1000}=5^{3000}\)

Answer 3

a) Ta có:

\(2^{300}=\left(2^3\right)^{100}=6^{100}\)

\(3^{200}=\left(3^2\right)^{100}=6^{100}\)

⇒ \(2^{300}=3^{200}\)

b) Ta có:

\(7^{2000}=\left(7^2\right)^{1000}=49^{1000}\)

\(5^{3000}=\left(5^3\right)^{1000}=125^{1000}\)

⇒ \(7^{2000}< 5^{3000}\)