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#