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

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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:

$(- 2) (m^{3} \cdot m \cdot m) (p^{3} \cdot p^{2} \cdot p)$ $(-2)(m^3*m*m)(p^3*p^2*p)$

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

$x = x^{1}$ $x = x^1$

$x^{a} \cdot x^{b} = x^{a + b}$ $x^color(red)(a) * x^color(blue)(b) = x^(color(red)(a)+color(blue)(b))$

$(- 2) (m^{3} \cdot m^{1} \cdot m^{1}) (p^{3} \cdot p^{2} \cdot p^{1})$ $(-2)(m^3*m^1*m^1)(p^3*p^2*p^1)$

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

$- 2 m^{5} p^{6}$ $-2m^5p^6$

How do you simplify (m3p3)(−2mp2)(mp)(m^3p^3)(-2mp^2)(mp)?