# How do you evaluate the power (-1)^3?

Oct 19, 2016

$- 1$

#### Explanation:

Given:$\text{ "(-1)^3" "=" } \textcolor{m a \ge n t a}{\left(- 1\right) \times \left(- 1\right)} \textcolor{g r e e n}{\times \left(- 1\right)}$

When the signs are the same multiplying gives a plus giving:
$\textcolor{m a \ge n t a}{\left(- 1\right) \times \left(- 1\right) = \left(+ 1\right)}$

When the signs are different multiplying gives a minus giving:
$\textcolor{m a \ge n t a}{+ 1} \textcolor{g r e e n}{\times \left(- 1\right)} \textcolor{b l u e}{= - 1}$