how do i simplify (2f^2g^3/3fg)^4??

$$\\(\frac{2f^2g^3}{3fg})^4\\\\ =(\frac{2ffggg}{3fg})^4\\\\ =(\frac{2fgg}{3})^4\\\\ =(\frac{2fg^2}{3})^4\\\\ =\frac{2^4f^4(g^2)^4}{3^4}\\\\ =\frac{16f^4g^8}{81}\\\\$$

first distribute the exponent outside the paretheses

then combine the exponents withe the same base and you should be good