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## Homework Statement

prove that: x^y=(5x+3y)^(13x+8y)

## Homework Equations

## The Attempt at a Solution

Can I say that x^y divides both 5x+3y and 13x+8y and go on from there or what?

Then in case one u could multiply 5x+3y by 13 and 13x+8y by 5 and do the difference and you'll get that x^y divides y

Case 2: multiply 5x+3y by 8 and 13x+8y by 3 and then we get x^y divides x.

And from case 1 and case 2 we can conclude that x^y=(5x+3y)^(13x+8y).

**Note that ^ stands for the greatest common divisor.**

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