# How do you simplify 2*-1^3 - 3* -1 * 2 ?

##### 1 Answer
Jun 17, 2015

Using PEMDAS

$2 \cdot - {1}^{3} - 3 \cdot - 1 \cdot 2$

#### Explanation:

$2 \cdot - {1}^{3} - 3 \cdot - 1 \cdot 2$

First put parentheses around negative number constants to avoid confusion of their minus signs with subtraction signs.

Then use PEMDAS to provide operator precedence rules:

Parentheses
Exponents
Multiplication & Division
Addition & Subtraction

When precedence is otherwise equal, work left to right.

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

$2 \cdot \textcolor{red}{{\left(- 1\right)}^{3}} - 3 \cdot \left(- 1\right) \cdot 2$

$= \textcolor{red}{2 \cdot \left(- 1\right)} - 3 \cdot \left(- 1\right) \cdot 2$

$= \left(- 2\right) - \textcolor{red}{3 \cdot \left(- 1\right)} \cdot 2$

$= \left(- 2\right) - \textcolor{red}{\left(- 3\right) \cdot 2}$

$= \textcolor{red}{\left(- 2\right) - \left(- 6\right)}$

$= 4$