# Seems rational

Algebra Level 3

If there are four distinct numbers $$p$$, $$q$$, $$r$$, and $$s$$ such that $$\dfrac{p}{q} = \dfrac{r}{s}$$ holds true, then is

$\large x^{\frac{p}{q}} = x^{\frac{r}{s}}$

also true for all $$x \in \mathbb{C}$$?

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