Intermediate Algebra (6th Edition)

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 347: 95

Answer

R cannot be equal to zero because once the operation is changed to multiplication after inverting the divisor, R becomes a denominator.

Work Step by Step

RECALL: $\\\dfrac{P}{Q} \div \dfrac{R}{S} = \dfrac{P}{Q} \cdot \dfrac{S}{R}$ Notice that once the operation is changed to multiplication after inverting the divisor, $R$ goes to the denominator. A denominator cannot be zero therefore $R$ cannot be equal to zero.
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