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