# How do you simplify (-3)^6?

Sep 27, 2016

${\left(- 3\right)}^{6} = 729$

#### Explanation:

${\left(- 3\right)}^{6}$ means

$\left(- 3\right) \times \left(- 3\right) \times \left(- 3\right) \times \left(- 3\right) \times \left(- 3\right) \times \left(- 3\right)$
which is not the same as $- 3 \times 6$!

Look at the signs first... there are 6 negatives, This will make a positive.

The numbers multiply to give 729.
(Powers get very big (or very small), very quickly.)

${\left(- 3\right)}^{6} = 729$