Question

So sánh: 2^150 va 3^100

Answer 1

Ta có :

2¹⁵⁰ = ( 2³ )⁵⁰ = 8⁵⁰

3¹⁰⁰ = ( 3² )⁵⁰ = 9⁵⁰

vì 8 < 9 nên 8⁵⁰ < 9⁵⁰  hay 2¹⁵⁰ < 3¹⁰⁰

Answer 2

\(2^{150}=\left(2^3\right)^{50}=8^{50}\)

\(3^{100}=\left(3^2\right)^{50}=9^{50}\)

\(8^{50}>9^{50}\Rightarrow2^{150}< 3^{100}\)

Answer 3

\(2^{150}=\left(2^3\right)^{50}=8^{50}\)

\(3^{100}=\left(3^2\right)^{50}=9^{50}\)

\(8^{50}>9^{50}\Rightarrow2^{150}< 3^{100}\)

Answer 4

Cảm ơn mọi người nha