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
Ta có:
\(2^{150}=2^{3.50}=\left(2^3\right)^{50}=8^{50}\)
\(3^{100}=3^{2.50}=\left(3^2\right)^{50}=9^{50}>8^{50}\)
\(\Rightarrow2^{150}< 3^{100}\)
2^150=(2^3)^50=8^50
3^100=(3^2)^50=9^50
Vì 9>8 nên 2^150<3^100
2150 =(23)50 =850
3100 =(32)50=950
==>2150 <3100
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 \(2^{150}< 3^{100}\)
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
