Question

How do you simplify `(-2w^-2)(-3w^2b^-2)(-5b^-3)`?

Answer 1

`=color(blue)(-30b^-5`

Explanation:

Here all terms within brackets need to be multiplied:

Rearranging the terms
`(-2. -3 . -5)(w^-2 . w^2)(.b^-2b^-3)`

Note: `color(blue)(a^m.a^n = a^(m+n)`

Applying the above property to the exponents of `w` and `b`

`=-30.w^color(blue)((-2 +2)).b^color(blue)((-2-3)`
`=-30w^0b^-5`

Note: `color(blue)(a^0 = 1`
`=color(blue)(-30b^-5`