Question 189
Let $n$ be a non-zero natural number. Is it possible that any strictly positive rational number is expressed in the form $$
\frac{a^{n}+b^{n+2}}{c^{n+1}+d^{n+3}}
$$ where $a, b, c, d$ are non-zero natural numbers?
\frac{a^{n}+b^{n+2}}{c^{n+1}+d^{n+3}}
$$ where $a, b, c, d$ are non-zero natural numbers?