Question Number 4358 by Rasheed Soomro last updated on 12/Jan/16
$$\mathrm{Determine}\:\mathrm{integer}\:\mathrm{solution}\:\mathrm{of} \\ $$$$\mathrm{bx}^{\mathrm{a}} +\mathrm{ay}^{\mathrm{b}} =\mathrm{cz}^{\mathrm{c}} \\ $$$$\mathrm{a},\mathrm{b},\mathrm{c}\:\mathrm{are}\:\mathrm{fixed}\:\mathrm{integers}. \\ $$
Commented by Filup last updated on 13/Jan/16
$$\frac{{x}^{{a}} }{{a}}+\frac{{y}^{{b}} }{{b}}=\frac{{cz}^{{c}} }{{ab}} \\ $$