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​​For positive integers $p$ and $q$, with $\frac{p}{q} \neq 1,\left(\frac{p}{q}\right)^{\frac{p}{q}}=p^{\left(\frac{p}{q}-1\right)}$. Then,

  1. $q^{p}=p^{q}$
  2. $q^{p}=p^{2 q}$
  3. $\sqrt{q}=\sqrt{p}$
  4. $\sqrt[p]{q}=\sqrt[q]{p}$
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