The correct option is B 7x^2/yz 49x^2yz^2/7y^2z^3 =(7yz^2)(7x^2)/(7yz^2)(yz) =7x^2/yz ...

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Division of a Monomial by a Monomial

49 x2 y z2/7 ...

Question

$\frac{49 x^{2} y z^{2}}{7 y^{2} z^{3}} = ?$

$\frac{7 x}{y z}$

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$\frac{7 x^{2}}{y z}$

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$\frac{7 x^{3}}{y z}$

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$\frac{7 x^{2}}{y^{2} z}$

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Solution

The correct option is B
$\frac{7 x^{2}}{y z}$

$\frac{49 x^{2} y z^{2}}{7 y^{2} z^{3}}$
$= \frac{(7 y z^{2}) (7 x^{2})}{(7 y z^{2}) (y z)}$
$= \frac{7 x^{2}}{y z}$

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