Question

How do you multiply `-2u v ^ { 4} \cdot 4v ^ { 3}`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`(-2 * 4)u(v^4 * v^3) = -8u(v^4 * v^3)`

Now, use this rule of exponents to complete the multiplication of the `v` terms:

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

`-8u(v^color(red)(4) * v^color(blue)(3)) = -8uv^(color(red)(4) + color(blue)(3)) =`

`-8uv^7`