\(a^m\cdot a^n=a^{m+n}\\ \left(\dfrac{2}{3}\right)^5\cdot\left(\dfrac{2}{3}\right)^3=\left(\dfrac{2}{3}\right)^8\)
\(\left(\dfrac{2}{3}\right)^5.\left(\dfrac{2}{3}\right)^3=\left(\dfrac{2}{3}\right)^{5+3}=\left(\dfrac{2}{3}\right)^8=\dfrac{256}{6561}\)