Question 34
Natural numbers $a, b, c, d$ satisfy
$$
0 \lt |ad - bc| \lt \min\{c, d\}.
$$
Prove that for any coprime natural numbers $x, y \gt 1$ the number $x^a + y^b$ is not divisible by $x^c + y^d$.
$$
0 \lt |ad - bc| \lt \min\{c, d\}.
$$
Prove that for any coprime natural numbers $x, y \gt 1$ the number $x^a + y^b$ is not divisible by $x^c + y^d$.