Question

Find each of the following product:
(−5a) × (−10a²) × (−2a³)

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:

$$\begin{gathered} \left(-5a\right)\times \left(-10a^2\right)\times \left(-2a^3\right) \\ =\left\{\left(-5\right)\times \left(-10\right)\times \left(-2\right)\right\}\times \left(a\times a^2\times a^3\right) \\ =\left\{\left(-5\right)\times \left(-10\right)\times \left(-2\right)\right\}\times \left(a^{1+2+3}\right) \\ =-100a^6 \end{gathered}$$

Thus, the answer is $-100a^6$.