Question

BT1: So sánh 2 số sau: \(2^{150}\) và \(3^{100}\).

 

Answer 1

Có : 2^150 = (2^3)^50 = 8^50

3^100 = (3^2)^50 = 9^50

Vì : 8^50 < 9^50 => 2^150 < 3^100

k mk nha

Answer 2

\(\Rightarrow\)\(2^{150}=2^{3\cdot}^{50}=\left(2\cdot3\right)^{50}=6^{50}\)

\(\Rightarrow\)\(3^{100}=3^{2\cdot50}=\left(3\cdot2\right)^{50}=6^{50}\)

\(\Rightarrow6^{50}=6^{50}\)

Vậy \(2^{150}=3^{100}\)

Chắc vậy đó . Nếu đúng k nha

Answer 3

1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1=

Answer 4

@luuthianhhuyen làm sai rồi :v

Có: \(2^{150}=2^{3.50}=8^{50}\)

       \(3^{100}=3^{2.50}=9^{50}\)

Vì \(8^{50}< 9^{50}\)nên \(2^{150}< 3^{100}\).