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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.402. (page 560)

Simplify the expression using the product property.
$r^{- 5} 路 r^{- 4}$

Short Answer

Expert verified

The solution is $r^{- 9}$ .

Step by step solution

01

Step 1. Given information.

The given expression is $r^{- 5} 路 r^{- 4}$ .

02

Step 2. Simplify the expression.

Use the property, $a^{m} 路 a^{n} = a^{m + n}$ .

Solve it as follows:

role="math" localid="1644568478354" $r^{- 5} 路 r^{- 4} = r^{- 5 - 4} r^{- 5} 路 r^{- 4} = r^{- 9} r^{- 5} 路 r^{- 4} = \frac{1}{r^{9}}$

03

Step 3. Simplified answer.

Hence, the simplified expression is $\frac{1}{r^{9}}$ .

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