Simplify: $x^{2} y^{2} x^{5} y^{3}$

$x^{7} y^{5}$

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$x^{7} y^{7}$

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$x^{5} y^{5}$

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$x^{5} y^{7}$

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Solution

The correct option is A
$x^{7} y^{5}$

$x^{2} y^{2} x^{5} y^{3}$

$= x^{2} x^{5} y^{2} y^{3}$

$= x^{2 + 5} y^{2 + 3}$ $[∵ a^{m} \times a^{n} = (a)^{m + n}]$

$= x^{7} y^{5}$

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