teetsel62 teetsel62
  • 30-04-2019
  • Mathematics
contestada

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

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 30-04-2019

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.

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