Question

Find the products:

$\left(\frac{-2}{7}{u}^{4}v\right)\times \left(\frac{-14}{5}u{v}^3\right)\times \left(\frac{-3}{4}{u}^2{v}^3\right)$

Answer 1

$$\begin{gathered} =(\frac{-2}{7}\times \frac{-14}{5}\times \frac{-3}{4})\times ({\mathrm{u}}^4\times \mathrm{u}\times {\mathrm{u}}^2\times \mathrm{v}\times {\mathrm{v}}^3\times {\mathrm{v}}^3) \\ =\frac{-3}{5}\times {\mathrm{u}}^{(4+1+2)}\times {\mathrm{v}}^{(1+3+3)} \\ =\frac{-3}{5}{\mathrm{u}}^7{\mathrm{v}}^7 \end{gathered}$$