Question

How do you multiply `(- 6x ^ { 2} y ^ { 3} ) ( x y ^ { 2} )`?

Answer 1

See a solution process below:

Explanation:

First, rewrite this expression as:

`-6(x^2 * x)(y^3 * y^2)`

Now, use these rules for exponents to multiply the `x` and `y` terms:

`a = a^color(blue)(1)` and `x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))`

`-6(x^color(red)(2) * x^color(blue)(1))(y^color(red)(3) * y^color(blue)(2)) => -6(x^(color(red)(2) + color(blue)(1)))(y^(color(red)(3) + color(blue)(2))) =>`

`-6x^3y^5`