[tex]\left(\frac{16}{9} \right)^{(2/3)}=\left(\frac{4}{9} \right)^{(4/3)} \\ \\ \left(\frac{4}{3} \right)^{(4/3)} \cdot \left(\frac{4}{9} \right)^{(5/3)}=\left(\frac{4}{3} \right)^{3}=\boxed{\frac{64}{27}}[/tex]
