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Definition of Functions

If x=ya,y=z...

Question

If $x = y^{a}, y = z^{b}$ and $z = x^{c}$ , then find the value of $a b c$ .

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Solution

$x = y^{a} \Rightarrow x^{c} = y^{a c}$
$\Rightarrow z = y^{a c}$ so $z^{b} = y^{a b c} = y^{'}$
$∴ a b c = 1$

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