How do you simplify $(m^3p^3)(-2mp^2)(mp)$ ?

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Answer 1 · 2017-01-07T22:02:14

See full simplification process below in the Explanation:

First, we can rearrange and rewrite this expression as:

$(-2)(m^3*m*m)(p^3*p^2*p)$

Now we can use the two following rules for exponents to combine the common terms:

$x = x^1$

$x^color(red)(a) * x^color(blue)(b) = x^(color(red)(a)+color(blue)(b))$

$(-2)(m^3*m^1*m^1)(p^3*p^2*p^1)$

$-2m^(3+1+1)p^(3+2+1)$

$-2m^5p^6$

How do you simplify (m^3p^3)(-2mp^2)(mp)(m^3p^3)(-2mp^2)(mp)?