Question

Find the products.
(i) $-5xyz$ and $16{ax}^2{y}^{2}z$
(ii) $\left(4x^{2}y\right)(-{3xy}^2{z}^3)(-\frac{1}{24}{x}^{2}z)$

• A. $\frac{1}{a}{x}^5{y}^3{z}^2$
• B. $\frac{1}{a}{x}^3{y}^3{z}^2$
• C. $-\frac{7}{18a}{x}^3{y}^3{z}^2$
• D. $-\frac{5}{32a}{x}^4{y}^2{z}^4$

Answer 1

The correct option is D $-\frac{5}{32a}{x}^4{y}^2{z}^4$

(i) $(-5xyz)\times \left(16{ax}^2{y}^{2}z\right)=(-5\times 16)\times \left(a\right)\times (x\times x^2)\times (y\times y^2)\times (z\times z)$
$=-80{ax}^3{y}^3{z}^2$
(ii) $\left({4x}^{2}y\right)(-3x{y}^2{z}^3)(-\frac{1}{24}{x}^{2}z)=(4\times -3\times -\frac{1}{24})\times (x^2\times x\times x^2)\times (y\times y^2)\times (z^3\times z)$
$=\frac{1}{2}{x}^5{y}^3{z}^4$