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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 175 (page 523)

Jennifer thinks the quotient $\frac{a^{24}}{a^{6}}$ simplifies to $a^{4}$ .What is wrong with her reasoning

Short Answer

Expert verified

Jennifer's reasoning is incorrect . The correct answer is $a^{18}$

Step by step solution

01

Given information

Simplifiesto $a^{4}$

02

Explanation

Applying Division property of exponents

$\frac{a^{24}}{a^{6}} = a^{24 - 6} = a^{18}$

The correct answer is $a^{18}$

Hence her reasoning is incorrect.

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