Question

So sánh:

Answer 1

\(10^{31}=2^{31}\cdot5^{31}\)

\(2^{100}=2^{31}\cdot2^{69}\)

mà \(5^{31}>2^{69}\)

nên \(10^{31}>2^{100}\)

Answer 2

Có \(10^{31}=2^{31}\cdot5^{31}=2^{31}\cdot5^{28}\cdot5^3=2^{31}\cdot\left(5^4\right)^7\cdot5^3=2^{31}\cdot625^7\cdot5^3\)

Mà ta lại có:

\(2^{100}=2^{31}\cdot2^{69}=2^{31}\cdot2^{63}\cdot2^6=2^{31}\cdot\left(2^9\right)^7\cdot\left(2^2\right)^3=2^{31}\cdot512^7\cdot4^3\)

Như vậy : \(10^{31}>2^{100}\)

Answer 3

ta có 10x3=310

2x100=200

310>200 nên 10 mũ 3 >2 mũ 100

Answer 4

  10³¹và2¹⁰⁰

=10³¹>2¹⁰⁰