Question

So sánh:

\(\left(0,49\right)^{36}và\left(0,512\right)^{24}\)

Answer 1

\(\left(0,49\right)^{36}=\left[\left(0,7\right)^2\right]^{36}=\left(0,7\right)^{72}\)

\(\left(0,512\right)^{24}=\left[\left(0,8\right)^3\right]^{24}=\left(0,8\right)^{72}\)

Vì 0,7<0,8 suy ra \(\left(0,7\right)^{72}< \left(0,8\right)^{72}\)

Vậy \(\left(0,49\right)^{36}< \left(0,512\right)^{24}\)

Answer 2

Từ (1) và (2) vậy