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:

\[\left( 2 . 3xy \right) \times \left( 0 . 1x \right) \times \left( 0 . 16 \right)\]

\[ = \left( 2 . 3 \times 0 . 1 \times 0 . 16 \right) \times \left( x \times x \right) \times y\]

\[ = \left( 2 . 3 \times 0 . 1 \times 0 . 16 \right) \times \left( x^{1 + 1} \right) \times y\]

\[ = 0 . 0368 x^2 y\]

Thus, the answer is \[0 . 0368 x^2 y\].