Answer
a. $$K_c = \frac{[CS_2][H_2]^4}{[CH_4][H_2S]^2}$$
b. $$K_c = \frac{[N_2][O_2]}{[NO]^2}$$
c. $$K_c = \frac{[CS_2][O_2]^4}{[SO_3]^2[CO_2]}$$
d. $$K_c = \frac{[H_2]^3[CO]}{[CH_4][H_2O]}$$
Work Step by Step
The formula for the equilibrium constant expression is:
$$K_c = \frac{[Products]}{[Reactants]}$$
Also, the coefficients in the equation are the exponents of the concentrations.