Question:
Find each of the following product:
(2.3xy) × (0.1x) × (0.16)
Solution:
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:
$(2.3 x y) \times(0.1 x) \times(0.16)$
$=(2.3 \times 0.1 \times 0.16) \times(x \times x) \times y$
$=(2.3 \times 0.1 \times 0.16) \times\left(x^{1+1}\right) \times y$
$=0.0368 x^{2} y$
Thus, the answer is $0.0368 x^{2} y$.