Question

So Sánh :

2 mũ 150 và 3 mũ 100

Giải dùm tớ nhé^^

Answer 1

Ta co : 
2^150 =(2^3)^50 =8^50 
3^100 = (3^2)^50 = 9^50 
vi 8<9 hay 8^50 <9^50 vay 2^150 <3^100

Answer 2

Ta có:

\(2^{150}=2^{3.50}=\left(2^3\right)^{50}=8^{50}\)

\(3^{100}=3^{2.50}=\left(3^2\right)^{50}=9^{50}>8^{50}\)

\(\Rightarrow2^{150}< 3^{100}\)

Answer 3

2^150=(2^3)^50=8^50

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

Vì 9>8 nên 2^150<3^100

Answer 4

2¹⁵⁰ =(2³)⁵⁰ =8⁵⁰

3¹⁰⁰ =(3²)⁵⁰=9⁵⁰

^==>2¹⁵⁰ <3¹⁰⁰

Answer 5

Ta có: \(\hept{\begin{cases}2^{150}=\left(2^3\right)^{50}=8^{50}\\3^{100}=\left(3^2\right)^{50}=9^{50}\end{cases}}\)

Vì \(8< 9\) nên \(8^{50}< 9^{50}\)

   hay \(2^{150}< 3^{100}\)

Answer 6

ta có:

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

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

vì 8< 9 nên 8⁵⁰ < 9⁵⁰

vậy 2¹⁵⁰   < 3¹⁰⁰