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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.385. (page 559)

Simplify the expression.
${(- 10)}^{- 3}$

Short Answer

Expert verified

The solution is $- \frac{1}{1000}$ .

Step by step solution

01

Step 1. Given information.

The given expression is ${(- 10)}^{- 3}$ .

02

Step 2. Simplify the expression.

We know that, $a^{- n} = \frac{1}{a^{n}}$ .

Solve it as follows:

${(- 10)}^{- 3} = \frac{1}{{(- 10)}^{3}} 鈬� \frac{1}{- 1000} 鈬� - \frac{1}{1000}$

03

Step 3. Simplified answer.

Hence, the simplified expression is $- \frac{1}{1000}$ .

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