Question

Find the product: $\left(\frac{2}{3}xy\right)\times \left(\frac{-9}{10}{x}^2{y}^2\right)$

• A. $\frac{3}{5}{x}^2{y}^3$
• B. $-\frac{3}{5}{x}^3{y}^3$
• C. $-\frac{3}{5}{x}^3{y}^2$
• D. $\frac{3}{5}{x}^3{y}^3$

Answer 1

The correct option is B $-\frac{3}{5}{x}^3{y}^3$

$\left(\frac{2}{3}xy\right)\times \left(\frac{-9}{10}{x}^2{y}^2\right)$
= $\left[\frac{2}{3}\times \frac{-9}{10}\right]\times (x\times x^2\times y\times y^2)$
$-\frac{3}{5}\times x^{1+2}\times y^{1+2}=-\frac{3}{5}{x}^3{y}^3$