Question

\(2^{300}\)và \(3^{200}\)

\(3^{500}\)và \(7^{300}\)

\(3^5\)và \(4^7\)

Answer 1

\(3^{500}=\left(3^5\right)^{100}=243^{100}\)

\(7^{300}=\left(7^3\right)^{100}=343^{100}\)

\(243^{100}< 343^{100}\Rightarrow3^{500}< 7^{300}\)

Answer 2

Ta có: 2^300 = (2^3)^100 = 8^100 

3^200 = (3^2)^100 = 9^100

Mà 8 < 9

=> 2^300 < 3^200

Answer 3

Câu 2 tương tự như câu 1

Answer 4

\(2^{300}=\left(2^3\right)^{100}=8^{100}\) .

\(3^{200}=\left(3^2\right)^{100}=9^{100}\)

\(8^{100}< 9^{100}\Rightarrow2^{300}< 3^{200}\)

Answer 5

\(3< 4;5< 7\Rightarrow3^5< 4^7\)