Answer
$\frac{x^{12}y^8}{16z^4}$
Work Step by Step
Distribute the exponent to the numerator and denominator and then simplify each term to find a simplified expression.
$(\frac{x^3y^2}{2z})^4$=$\frac{x^{3(4)}y^{2(4)}}{2^4z^4}$=$\frac{x^{12}y^8}{16z^4}$