.Simplify: $a^{x - y + 1} a^{y - z + 1} a^{z - x + 1}$

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Solution

Given, $a^{x - y + 1} a^{y - z + 1} a^{z - x + 1}$

$= a^{x - y + 1 + y - z + 1 + z - x + 1}$

$= a^{1 + 1 + 1}$

$= a^{3}$

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