!$ \dfrac{4}{9}.\dfrac{8}{27}=\left(\dfrac{2}{3}\right)^{^2}.\left(\dfrac{2}{3}\right)^{^3}=\left(\dfrac{2}{3}\right)^{^6}. !$

!$ \dfrac{8}{27}:\dfrac{4}{9}=\left(\dfrac{2}{3}\right)^{^3}:\left(\dfrac{2}{3}\right)^{^2}=\left(\dfrac{3}{2}\right). !$

!$ \left(\dfrac{8}{27}\right)^{^2}=\left[\left(\dfrac{2}{3}\right)^{^3}\right]^{^{^2}}=\left(\dfrac{2}{3}\right)^{^5}. !$

!$ \dfrac{8}{27}.\dfrac{1}{125}=\left(\dfrac{2}{3}\right)^{^3}.\left(\dfrac{1}{5}\right)^{^3}=\left(\dfrac{2}{3}.\dfrac{1}{5}\right)^{^3}=\left(\dfrac{2}{15}\right)^{^3}. !$

!$ \dfrac{125}{8}:\dfrac{1}{27}=\left(\dfrac{5}{2}\right)^{^3}:\left(\dfrac{1}{3}\right)^{^3}=\left(\dfrac{5}{2}.\dfrac{1}{3}\right)^{^3}=\left(\dfrac{5}{6}\right)^{^3}. !$