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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.405. (page 560)

Simplify the expression using the product property.
$p^{5} 路 p^{- 2} 路 p^{- 4}$

Short Answer

Expert verified

The solution is $\frac{1}{p}$ .

Step by step solution

01

Step 1. Given information.

The given expression is $p^{5} 路 p^{- 2} 路 p^{- 4}$ .

02

Step 2. Simplify the expression.

Solve it as follows:

$p^{5} 路 p^{- 2} 路 p^{- 4} = p^{5 - 2 - 4} p^{5} 路 p^{- 2} 路 p^{- 4} = p^{5 - 6} p^{5} 路 p^{- 2} 路 p^{- 4} = p^{- 1} p^{5} 路 p^{- 2} 路 p^{- 4} = \frac{1}{p}$

03

Step 3. Simplified answer.

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

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