Question

Find each of the following product:
(7ab) × (−5ab²c) × (6abc²)

Answer 1

To multiply algebraic expressions, we use commutative and associative laws along with the law of indices, i.e., $a^m\times a^n=a^{m+n}$.

We have:

$$\begin{gathered} \left(7ab\right)\times \left(-5a{b}^{2}c\right)\times \left(6ab{c}^2\right) \\ =\left\{7\times \left(-5\right)\times 6\right\}\times \left(a\times a\times a\right)\times \left(b\times b^2\times b\right)\times \left(c\times c^2\right) \\ =\left\{7\times \left(-5\right)\times 6\right\}\times \left(a^{1+1+1}\right)\times \left(b^{1+2+1}\right)\times \left(c^{1+2}\right) \\ =-210a^3{b}^4{c}^3 \end{gathered}$$

Thus, the answer is $-210a^3{b}^4{c}^3$.