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

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Answer 1 · 2015-06-22T11:33:08

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

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

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