Answer:
C
![(y^(1)/(2) )/(xz^2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/axquidcka94ucr7s51de52n1rxqif1dt6n.png)
Explanation:
To find an equivalent (or equal) expression, simplify the operations using exponent rules. Apply the power to a power rule and the negative exponent rule to turn all negative exponents positive. This is applied by moving any bases with negative exponents to the denominator.
![(x^(1)/(2)y^(-1)/(4)z)^(-2) = (x^(-2)/(2)y^(2)/(4)z^(-2))=(y^(1)/(2) )/(xz^2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/difp4cw63epl68vxiblyo43s30dyub6l90.png)