Divide:
$6 x^{3} y^{2} z^{2}$ by $3 x^{2} y z$

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Solution

Given expression is $6 x^{3} y^{2} z^{2}$ by $3 x^{2} y z$
$= \frac{6 x^{3} y^{2} z^{2}}{3 x^{2} y z}$
$= 2 x^{3 - 2} y^{2 - 1} z^{2 - 1}$ [ $∵ \frac{a^{m}}{a^{n}} = a^{m - n}, a \neq 0$ ]
$= 2 x y z$
$∴ 6 x^{3} y^{2} z^{2}$ by $3 x^{2} y z = 2 x y z$

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