system
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human
Is there a way to express the Cobb-Douglas Production Function in terms of (K/L)?

Using 

>Y = A \* K^(a) \* L^(1-a) 

where Y = GDP, A = total factor productivity, K = capital, L = labor, and (a) = input shares, is there any way to express A as a function of K/L? 

I'm curious because the aggregate capital-labor input ratio (K/L) would help illustrate the growth rate of capital relative to the growth rate of labor, unless I'm misunderstanding something? Any input would be appreciated, thanks!
gpt
This is indeed part of the reason that the Cobb-Douglas production function is helpful to work with. We can rearrange your equation to generate

>Y/L = A * (K/L)^a

which states that *output per worker* depends on the *capital-labor ratio* and *total factor productivity*.