Question

Find the product and verify the result for a = 1, b = 2 and c = 3.

$\left(\frac{-4}{7}{a}^{2}b\right)\times \left(\frac{-2}{3}{b}^{2}c\right)\times \left(\frac{-7}{6}{c}^{2}a\right)$

Answer 1

$$\begin{gathered} =(\frac{-4}{7}\times \frac{-2}{3}\times \frac{-7}{6})\times ({\mathrm{a}}^2\times \mathrm{a}\times \mathrm{b}\times {\mathrm{b}}^2\times \mathrm{c}\times {\mathrm{c}}^2) \\ =-\frac{4}{9}{\mathrm{a}}^{(2+1)}\times {\mathrm{b}}^{(1+2)}\times {\mathrm{c}}^{(1+2)} \\ =\frac{-4}{9}{\mathrm{a}}^3{\mathrm{b}}^3{\mathrm{c}}^3 \\ \mathrm{L}.\mathrm{H}.\mathrm{S}.:(\frac{-4}{7}\times \frac{-2}{3}\times \frac{-7}{6})\times (1^2\times 1\times 2\times 2^2\times 3\times 3^2) \\ =-96 \\ \mathrm{R}.\mathrm{H}.\mathrm{S}.:\frac{-4}{9}\times 1^3\times 2^3\times 3^3=-96 \\ \mathrm{L}.\mathrm{H}.\mathrm{S}.=\mathrm{R}.\mathrm{H}.\mathrm{S}. \\ \mathrm{Hence},\mathrm{verified}. \end{gathered}$$