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For rate = $$k [A]^x [B]^y$$:
$$ \frac{\mathrm{Rate}_1}{\mathrm{Rate}_2} = \left( \frac{[A]_1}{[A]_2} \right)^x \left( \frac{[B]_1}{[B]_2} \right)^y $$
Solve for orders $$x$$ and $$y$$ by comparing experiments.
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For rate = $$k [A]^x [B]^y$$:
$$ \frac{\mathrm{Rate}_1}{\mathrm{Rate}_2} = \left( \frac{[A]_1}{[A]_2} \right)^x \left( \frac{[B]_1}{[B]_2} \right)^y $$
Solve for orders $$x$$ and $$y$$ by comparing experiments.
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