#### Answer

False;
The correct statement is:
$\dfrac{1}{(-2)^3} = (-2)^{-3}$

#### Work Step by Step

RECALL:
$ a^{-m}=\dfrac{1}{a^m}, a\ne0$
Use the rule above to obtain:
$\dfrac{1}{(-2)^3} = (-2)^{-3}$
Thus, the given statement is false.
The correct statement is:
$\dfrac{1}{(-2)^3} = (-2)^{-3}$