Question

Bài 1 :so sánh a, b, c

a=2¹⁰⁰

b=3⁷⁵

c=5⁵⁰

Bài 2:tìm a, b, c

ab=\(\frac{3}{5}\);bc=\(\frac{4}{5}\): ca=\(\frac{3}{4}\)

 

Answer 1

1/ a = 2¹⁰⁰ = (2⁴)²⁵ = 16²⁵

b = 3⁷⁵ = (3³)²⁵ = 27²⁵

c = 5⁵⁰ = (5²)²⁵ = 25²⁵

Do: 16 < 25 < 27  => 16²⁵ < 25²⁵ < 27²⁵  => 2¹⁰⁰ < 5⁵⁰ < 3⁷⁵  => a < c < b

Answer 2

thank nhìu :3

Answer 3

Bài 1:

\(a=2^{100}=\left(2^4\right)^{25}\)

\(b=3^{75}=\left(3^3\right)^{25}\)

\(c=5^{50}=\left(5^2\right)^{25}\)

Ta có: \(2^4< 5^2< 3^3\left(16< 25< 27\right)\) nên \(a< c< b\)