Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.6 Rational Exponents - R.6 Exercises - Page 65: 107

Answer

$-1$

Work Step by Step

Multiply $\frac{rq}{rq}$ to the expression, we have: $\frac{r^{-1}+q^{-1}}{r^{-1}-q^{-1}}\cdot \frac{r-q}{r+q}=\frac{rq}{rq}\cdot\frac{r^{-1}+q^{-1}}{r^{-1}-q^{-1}}\cdot \frac{r-q}{r+q}=\frac{q+r}{q-r}\cdot \frac{r-q}{r+q}=-1$
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