How do you simplify (-3)^7?

Aug 15, 2016

$- 2187$
${\left(- 3\right)}^{7} = {\left(- 1\right)}^{7} \times {3}^{7}$
$= - 2187$
NB: $- {1}^{7}$ is negative since the exponent is odd.
In general: $- {1}^{2 n - 1} = - 1$ for all $n \in \mathbb{Z}$