Overall rate of reactions of decomposition of dimethyl ether

Hi Guys, i'm solving this for almost a week, this is a part of our probset in chemical kinetics:
The thermal decomposition of dimethyl ether:
CH3OCH3 ---K1--> CH3' + OCH3'
CH3' + CH3OCH3 ---K2--> CH4 + CH2OCH3'
CH2OCH3' + --k3---> CH3' + HCHO
CH3' + CH2OCH3' ---k4--> C2H5OCH3

using steady-state assumption and usual approximations of small initiation and termination coefficients show that

-d[CH3OCH3]/dt = Ko [CH3OCH3]^n

i tried to solved this but up until now i really don't have an idea how come that the right expression will have '^n' factor?

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Quantum Defect
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Hi Guys, i'm solving this for almost a week, this is a part of our probset in chemical kinetics:
The thermal decomposition of dimethyl ether:
CH3OCH3 ---K1--> CH3' + OCH3'
CH3' + CH3OCH3 ---K2--> CH4 + CH2OCH3'
CH2OCH3' + --k3---> CH3' + HCHO
CH3' + CH2OCH3' ---k4--> C2H5OCH3

using steady-state assumption and usual approximations of small initiation and termination coefficients show that

-d[CH3OCH3]/dt = Ko [CH3OCH3]^n

i tried to solved this but up until now i really don't have an idea how come that the right expression will have '^n' factor?