$$y^a = x^{a+b} $$$$y^a = x^a x^b $$$$\dfrac{y^a}{x^a} = x^b $$$$\left({\dfrac{y}{x}}\right)^a = x^b $$$$\left(\left({\dfrac{y}{x}}\right)^a\right)^\frac{1}{a} = \left({x^b}\right)^\frac{1}{a} $$$$\left(\dfrac{y}{x}\right)^{\frac{a}{a}} = x^{\frac{b}{a}} $$$$\dfrac{y}{x} = x^{\frac{b}{a}} $$
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