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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 131. (page 1069)

In the following exercises, simplify each expression.
$(a) . 7 n^{- 1} (b) . {(7 n)}^{- 1} (c) . {(- 7 n)}^{- 1}$

Short Answer

Expert verified

The simplified form of the expressions

$(a) . 7 n^{- 1} = \frac{7}{n} (b) . {(7 n)}^{- 1} = \frac{1}{7 n} (c) . {(- 7 n)}^{- 1} = - \frac{1}{7 n}$

Step by step solution

01

Part (a) Step 1. Given information.

The given expression is 7n^-1.

02

Part (a) Step 2. Apply the concept.

Now, apply property of negative exponents

We get,

$\frac{7}{n}$

03

Part (b) Step 1. Given information.

The given expression is ${(7 n)}^{- 1}$ .

04

Part (b) Step 2. Apply the concept of power product and negative exponents.

First apply the concept of power product-

${(7 n)}^{- 1} = 7^{- 1} n^{- 1}$

Now apply the concept of negative exponents-

$7^{- 1} n^{- 1} = \frac{1}{7 n}$ .

05

Part (c) Step 1. Given information.

The given expression is ${(- 7 n)}^{- 1} .$

06

Part (c) Step 2. Apply the concept of power product and negative exponents.

Apply the concept of power product-

${(- 7 n)}^{- 1} = - 7^{- 1} n^{- 1}$

Now apply the concept of negative exponents-

localid="1661185477469" $- 7^{- 1} n^{- 1} = - \frac{1}{7 n}$ .

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Most popular questions from this chapter

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