Question

Find the product $\left(\frac{3}{5}ab{c}^3\right)\times \left(\frac{-25}{12}{a}^3{b}^2\right)\times (-8b^{3}c).$

Answer 1

$\begin{array}{l}\text{We have:}\\ \frac{3}{5}ab{c}^3\times \frac{(-25)}{12}{a}^3{b}^2\times (-8b^{3}c)\\ =\frac{{\sout{3}}^1}{{\sout{5}}_1}ab{c}^3\times \frac{(-\sout{2}{\sout{5}}^5)}{\sout{1}{\sout{2}}_{{\sout{4}}_1}}{a}^3{b}^2\times (-{\sout{8}}^2{b}^{3}c)\\ =ab{c}^3\times (-5a^3{b}^2)\times (-2b^{3}c)\\ =10a^4{b}^6{c}^4\end{array}$