Question

so sánh 3^21 và 2^31

Answer 1

\(3^{21}=3^{20}.3=\left(3^2\right)^{10}.3=9^{10}.3\)

\(2^{31}=2^{30}.2=\left(2^3\right)^{10}.2=8^{10}.2\)

\(9^{10}.3>8^{10}.2\Rightarrow3^{21}>2^{31}\)

Vậy \(3^{21}>2^{31}\)

Answer 2

3²¹ > 2³¹