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Find the products of the following monomials.
a. $ (-6) x^{2} \times 7 x y $
b. $ 2 a b \times(-6) a b $
c. $ \left(-4 x^{2} y^{2}\right) \times 3 x^{2} y^{2} $
d. $ 9 x y z \times 2 z^{3} $
To do:
We have to find the product of the given monomials.
Solution:
a. \( (-6) x^{2} \times 7 x y \)
$=(-6\times7)\times(x^2\times xy)$
$=(-42)\times(x^{2+1}y)$
$=-42x^3y$
b. \( 2 a b \times(-6) a b \)
$=(2\times-6)\times(ab\times ab)$
$=(-12)\times(a^{1+1}b^{1+1})$
$=-12a^2b^2$
c. \( \left(-4 x^{2} y^{2}\right) \times 3 x^{2} y^{2} \)
$=(-4\times3)\times(x^2y^2\times x^2y^2)$
$=(-12)\times(x^{2+2}y^{2+2})$
$=-12x^4y^4$
d. \( 9 x y z \times 2 z^{3} \)
$=(9\times2)\times(xyz\times z^3)$
$=(18)\times(xyz{1+3})$
$=18xyz^4$
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