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:

\[- 3 a^2 \times 4 b^4 \]

\[ = \left( - 3 \times 4 \right) \times \left( a^2 \times b^4 \right)\]

\[ = - 12 a^2 b^4\]

Thus, the answer is \[- 12 a^2 b^4\].