Question

So sánh giúp mình với

\(\left(\dfrac{4}{9}\right)^{15}\) và \(\left(\dfrac{8}{27}\right)^{13^{ }}\)

Answer 1

Ta có: \(\left(\dfrac{4}{9}\right)^{15}=\left(\dfrac{2}{3}\right)^{30}\)

\(\left(\dfrac{8}{27}\right)^{13}>\left(\dfrac{8}{27}\right)^{10}=\left(\dfrac{2}{3}\right)^{30}\)

\(\Rightarrow\left(\dfrac{8}{27}\right)^{13}>\left(\dfrac{4}{9}\right)^{15}\)

Answer 2

Ta có \(\left(\dfrac{4}{9}\right)^{15}=\left(\dfrac{2}{3}\right)^{30}=\left(\dfrac{8}{27}\right)^{10}\)

vì \(\left(\dfrac{8}{27}\right)^{13}>\left(\dfrac{8}{27}\right)^{10}\)

=>\(\left(\dfrac{4}{9}\right)^{15}< \left(\dfrac{8}{27}\right)^{13}\)

Chúc Bạn Đạt nhiều thành tích tốt trong học tập

Answer 3

Ta có :

\(\left(\dfrac{4}{9}\right)^{15}=\left(\dfrac{2}{3}\right)^{15}\)

\(\left(\dfrac{8}{27}\right)^{13}=\left(\dfrac{2}{3}\right)^{39}\)

Vì \(\left(\dfrac{2}{3}\right)^{30}>\left(\dfrac{2}{3}\right)^{39}\)

=> \(\left(\dfrac{4}{9}\right)^{15}>\left(\dfrac{8}{27}\right)^{13}\)