Question

So sánh:

A=10³⁰ và B=2¹⁰⁰

Answer 1

A= 10³⁰ = (10³ ) ¹⁰ = 1000¹⁰
B= 2¹⁰⁰ = (2¹⁰ ) ¹⁰ = 1024¹⁰
Vì 1000¹⁰ < 1024¹⁰
=> A<B
 

Answer 2

A=10³⁰=(10³)¹⁰=1000¹⁰

B=2¹⁰⁰=(2¹⁰)¹⁰=1024¹⁰

Vì 1000¹⁰<1024¹⁰ nên A<B

Answer 3

\(10^{30}=10^{3\cdot10}=\left(10^3\right)^{10}=1000^{10}\)

\(2^{100}=2^{10\cdot10}=\left(2^{10}\right)^{10}=1024^{10}\)

Vì 1000^10 < 1024^10

=> 10^30 < 2^100