Answer
$\dfrac{p^x-4}{4-p^x}=-1$
Work Step by Step
Factor the numerator and the denominator completely to have:
$\require{cancel}=\dfrac{p^x-4)}{-1(-4+p^x)}
\\=\dfrac{p^x-4}{-1(p^x-4)}
\\=\dfrac{\cancel{p^x-4}}{-1\cancel{(p^x-4)}}
\\=-1$
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 6 - Section 6.1 - Rational Functions and Multiplying and Dividing Rational Expressions - Exercise Set - Page 348: 99
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