# How do you simplify (-3x^2)(-4x^-2)?

Mar 3, 2018

See a solution process below:

#### Explanation:

First, rewrite the expression as:

$\left(- 3 \times - 4\right) \left({x}^{2} \times {x}^{-} 2\right) \implies$

$12 \left({x}^{2} \times {x}^{-} 2\right)$

Next, use this rule of exponents to combine the $x$ terms:

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

$12 \left({x}^{\textcolor{red}{2}} \times {x}^{\textcolor{b l u e}{- 2}}\right) \implies$

$12 {x}^{\textcolor{red}{2} + \textcolor{b l u e}{- 2}}$

$12 {x}^{\textcolor{red}{2} - \textcolor{b l u e}{2}}$

$12 {x}^{\textcolor{red}{0}}$

Now, use this rule of exponents to complete the simplification:

${a}^{\textcolor{red}{0}} = 1$

$12 \times 1 \implies$

$12$