Question

Find each of the following product:
(2.3xy) × (0.1x) × (0.16)

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:
$$\begin{gathered} \left(2.3xy\right)\times \left(0.1x\right)\times \left(0.16\right) \\ =\left(2.3\times 0.1\times 0.16\right)\times \left(x\times x\right)\times y \\ =\left(2.3\times 0.1\times 0.16\right)\times \left(x^{1+1}\right)\times y \\ =0.0368x^{2}y \end{gathered}$$

Thus, the answer is $0.0368x^{2}y$.