ANSWER
[tex]{( - 2)}^{ - 3} =- \frac{1}{ 8} [/tex]
EXPLANATION
We want to simplify;
[tex] {( - 2)}^{ - 3} [/tex]
Recall that,
[tex] {a}^{ - m} = \frac{1}{ {a}^{m} } [/tex]
[tex]{( - 2)}^{ - 3} = \frac{1}{{( - 2)}^{ 3}} [/tex]
We multiply out to get,
[tex]{( - 2)}^{ - 3} = \frac{1}{{- 2} \times - 2 \times - 2} [/tex]
[tex]{( - 2)}^{ - 3} = \frac{1}{ - 8} [/tex]
The correct choice is B.
