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If x a / b ...

Question

If $x^{\frac{a}{b}} = 1$ , then find the value of ' $a$ '. $(w h e r e x \neq 1)$

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Solution

$x^{a / b} = 1$
$\frac{a}{b} = {log}_{x} 1 = 0$
$a = b \times 0 = 0$
$∴ a = 0$

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