Question

Find the product of: $\left(\frac{2}{5}{x}^2{y}^2{z}^5\right)(-\frac{15}{8}{x}^5{y}^3{z}^3)\left(\sqrt{3}{x}^7{y}^2{z}^3\right)$

Answer: $-\frac{3\sqrt{3}}{4}{x}^{14}{y}^7{z}^{11}$

• A. True
• B. False

Answer 1

The correct option is A True

$\frac{2}{5}{x}^2{y}^2{z}^5\times \frac{-15}{8}{x}^5{y}^3{z}^3\times \sqrt{3}{x}^7{y}^2{z}^3$

$=x^{2+5+7}{y}^{2+3+2}{z}^{5+3+3}\times \frac{-15}{8}\sqrt{3}\times \frac{2}{5}$

$=x^{14}{y}^7{z}^{11}\times \frac{-3}{4}\sqrt{3}$

So, the correct answer is option $A$.