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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q.394. (page 559)

Simplify the expression.
$- {(\frac{1}{2})}^{- 3}$

Short Answer

Expert verified

The solution is $- 8$ .

Step by step solution

01

Step 1. Given information.

The given expression is $- {(\frac{1}{2})}^{- 3}$ .

02

Step 2. Simplify the expression.

Solve it as follows:

$- {(\frac{1}{2})}^{- 3} = - {(\frac{2}{1})}^{3} - {(\frac{1}{2})}^{- 3} = - 2^{3} - {(\frac{1}{2})}^{- 3} = - 8$

03

Step 3. Simplified answer.

Hence, the simplified expression is $- 8$

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