How do you simplify (-2x^3y^2)(-3xy^3) ?

Sep 30, 2015

$6 {x}^{4} {y}^{5}$

Explanation:

According to the law of indices:
${a}^{m} \times {a}^{n} = {a}^{m + n}$

This means that to multiply expressions with the same base, you simply have to add the exponents.

Solution
(−2x^3y^2)(−3xy^3)
$= \left(- 2\right) \cdot \left(- 3\right) \cdot {x}^{3} \cdot x \cdot {y}^{2} \cdot {y}^{3}$
$= 6 \cdot {x}^{3 + 1} \cdot {y}^{2 + 3}$
$= \textcolor{b l u e}{6 {x}^{4} {y}^{5}}$