Answer
$q-p$
Work Step by Step
Multiply $\frac{pq}{pq}$ to the expression, we have:
$\frac{p^{-1}-q^{-1}}{(pq)^{-1}}=\frac{p^{-1}-q^{-1}}{(pq)^{-1}}\cdot\frac{pq}{pq}=\frac{q-p}{1}=q-p$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
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: 106
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