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

Jan 7, 2017

See full simplification process below in the Explanation:

#### Explanation:

First, we can rearrange and rewrite this expression as:

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

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

$x = {x}^{1}$

${x}^{\textcolor{red}{a}} \cdot {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} + \textcolor{b l u e}{b}}$

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

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

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