Answer
$a+b$
Work Step by Step
Multiply $\frac{ab}{ab}$ to the expression, we have:
$\frac{a^{-1}+b^{-1}}{(ab)^{-1}}=\frac{a^{-1}+b^{-1}}{(ab)^{-1}}\cdot \frac{ab}{ab}=\frac{b+a}{1}=a+b$
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: 105
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