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Division of a Polynomial by a Polynomial

Calculate the...

Question

Calculate the value of $y$ , if ${(x^{y})}^{3} = x^{9}$

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Solution

The correct option is A 3
Given, $(x^{y})^{3} = x^{9}$
$\Rightarrow x^{3 y} = x^{9}$
Base are same, so their powers must be equal
$\Rightarrow 3 y = 9$
$\Rightarrow y = \frac{9}{3} = 3$

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