I need helpppp

Evaluate the expression.

Hello Keihaku!

\((\frac{16}{9})^{\frac{2}{3}}\cdot (\frac{4}{3})^{\frac{5}{3}}\\ =\sqrt[3]{\frac{4^{2\cdot 2}}{3^{2\cdot 2}}\cdot \frac{4^5}{3^5}}\\ =\frac{4^{(4+5)/3}}{3^{(4+5)/3}}\\ =\frac{4^3}{3^3}\\ \color{blue}=\frac{64}{27}=3.\overline{370}\)

  !