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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 113 (page 521)

$p^{5} . p^{- 2} . p^{- 4}$

Short Answer

Expert verified

$p^{- 1}$

Step by step solution

01

. Given Information

We are given the expression :

$p^{5} . p^{- 2} . p^{- 4}$ , we need to simplify the expression

02

. Product Property

If $a$ is a real number and $m$ and $n$ are integers, then :

$a^{m} . a^{n} = a^{m + n}$

03

. Simplify the expression

Using the Product Property :

$p^{5} . p^{- 2} . p^{- 4} = p^{5 + (- 2) + (- 4)}$

$p^{5 - 2 - 4} = p^{5 - 6}$

$= p^{- 1}$

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