Question

So sanh hai so :(1/2)^30va(1/3)^20

 

Answer 1

\(\left(\frac{1}{2}\right)^{30}=\left(\frac{1}{2}^3\right)^{10}\)

\(\Rightarrow\left(\frac{1}{2}^3\right)^{10}=\frac{1}{6}^{10}\)

\(\frac{1}{3}^{20}=\left(\frac{1}{3}^2\right)^{10}=\frac{1}{9}^{10}\)

\(\frac{1}{6}^{10}>\frac{1}{9}^{10}\Rightarrow\left(\frac{1}{2}\right)^{30}>\left(\frac{1}{3}\right)^{20}\)

Answer 2

(1/2)^30=(1/2^3)^10=(1/8)^10

(1/3)^20=(1/2^2)^10=(1/4)^10

Vì 1/8 <1/4 nên (1/8)^10<(1/4)^10

=>(1,2)^30<(1/3)^20

click cho mk nha