Question

Find each of the following product:
(−4x²) × (−6xy²) × (−3yz²)

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:

$$\begin{gathered} \left(-4x^2\right)\times \left(-6x{y}^2\right)\times \left(-3y{z}^2\right) \\ =\left\{\left(-4\right)\times \left(-6\right)\times \left(-3\right)\right\}\times \left(x^2\times x\right)\times \left(y^2\times y\right)\times z^2 \\ =\left\{\left(-4\right)\times \left(-6\right)\times \left(-3\right)\right\}\times \left(x^{2+1}\right)\times \left(y^{2+1}\right)\times z^2 \\ =-72x^3{y}^3{z}^2 \end{gathered}$$

Thus, the answer is $-72x^3{y}^3{z}^2$.