$2 x^{2} y z \times 5 x y^{2} z^{2}$ = ___________________

10 x^{2} y^{2} z^{2}

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7 x^{2} y^{2} z^{2}

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15 x^{3} y^{3} z^{3}

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10 x^{3} y^{3} z^{3}

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Solution

The correct option is D $10 x^{3} y^{3} z^{3}$
$2 x^{2} y z \times 5 x y^{2} z^{2} = (2 \times 5) (x^{2} \times x) (y \times y^{2}) (z \times z^{2})$
= $10 x^{3} y^{3} z^{3}$
[ $∵ a^{m} \times a^{n} = a^{(m + n)}$ ]

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