Question

Find each of the following product:
(−5xy) × (−3x²yz)

Answer 1

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

We have:

\[\left( - 5xy \right) \times \left( - 3 x^2 yz \right)\]

\[ = \left\{ \left( - 5 \right) \times \left( - 3 \right) \right\} \times \left( x \times x^2 \right) \times \left( y \times y \right) \times z\]

\[ = 15 \times \left( x^{1 + 2} \right) \times \left( y^{1 + 1} \right) \times z\]

\[ = 15 x^3 y^2 z\]

Thus, the answer is \[15 x^3 y^2 z\].