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For finding the Units of Rate constant for a third order reaction. rate = K*[A]^3 d[A]/dt...

For finding the Units of Rate constant for a third order reaction.
rate = K*[A]^3
d[A]/dt = K*[A]^3
writing unit of each term in equation
M/sec = K*M^3
K = 1/(M^2*sec)
K = M^-2/sec
K = L^2/(mol^2*sec)

Why does 1/(M^2*sec) become M^-2/sec and then L^2/(mol^2*sec)

I have a vague understanding but I would like to receive a more in depth conceptual explanation. Thank you!

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