Question

Find each of the following product:
−3a² × 4b⁴

Answer 1

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

We have:

$$\begin{gathered} -3a^2\times 4b^4 \\ =\left(-3\times 4\right)\times \left(a^2\times b^4\right) \\ =-12a^2{b}^4 \end{gathered}$$

Thus, the answer is $-12a^2{b}^4$.