Question

The value of $(-5x^{2}y)\times (-\frac{2}{3}x{y}^{2}z)\times \left(\frac{8}{15}xy{z}^2\right)\times (-\frac{1}{4}z)$ is ?

• A. $-\frac{4}{9}{x}^4{y}^4{z}^4$
• B. $\frac{4}{9}{x}^4{y}^4{z}^4$
• C. $-\frac{4}{9}{x}^3{y}^3{z}^3$
• D. $\frac{4}{9}{x}^3{y}^3{z}^3$

Answer 1

The correct option is A $-\frac{4}{9}{x}^4{y}^4{z}^4$

$(-5x^{2}y)\times (-\frac{2}{3}x{y}^{2}z)\times \left(\frac{8}{15}xy{z}^2\right)\times (-\frac{1}{4}z)$

$=-5\times \frac{8}{15}\times -\frac{2}{3}\times -\frac{1}{4}\times x^{2+1+1}\times y^{1+2+1}\times z^{1+2+1}$ using $a^m\times a^n=a^{m+n}$

$=-\frac{4}{9}{x}^4\times y^4\times z^4$