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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

$$\frac{x^a}{a}+\frac{y^b}{b}=\frac{{cz}^c}{ab}$$

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