Question

Simplify. (-2)^-3
A.-8
B.-1/8
C.1/8
D.8

Answer 1

`{( - 2)}^( - 3) =- (1)/( 8)`

Step-by-step explanation

We want to simplify;

`{( - 2)}^( - 3)`

Recall that,

`{a}^( - m) = \frac{1}{ {a}^(m) }`

`{( - 2)}^( - 3) = \frac{1}{{( - 2)}^( 3)}`

We multiply out to get,

`{( - 2)}^( - 3) = \frac{1}{{- 2} * - 2 * - 2}`

`{( - 2)}^( - 3) = (1)/( - 8)`

The correct choice is B.