Question

How do you multiply `(8w^2)/9*3/(2w^4)`?

Answer 1

See a solution process below:

Explanation:

First, we can rewrite the expression as:

`((8 * 3)/(9 * 2))(w^2/w^4) => ((color(red)(cancel(color(black)(8)))4 * color(blue)(cancel(color(black)(3))))/(color(blue)(cancel(color(black)(9)))3 * color(red)(cancel(color(black)(2)))))(w^2/w^4) =>`

`4/3(w^2/w^4)`

We can now use this rule for exponents to simplify the `w` terms:

`x^color(red)(a)/x^color(blue)(b) = 1/x^(color(blue)(b)-color(red)(a))`

`4/4(w^color(red)(2)/w^color(blue)(4)) => 4/3 * 1/w^(color(blue)(4)-color(red)(2)) => 4/3 * 1/w^2 =>`

`4/(3w^2)`