Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.2 - Rational Exponents - Exercise Set: 101

Answer

$a^{\frac{1}{3}}$

Work Step by Step

Step 1: Since both the radicands multiply together, their indexes add to each other. Step 2: Denoting the missing exponent by $x$, $\frac{3}{3}=\frac{2}{3}+x$ Step 3: Therefore, x = $\frac{3}{3}-\frac{2}{3}$ = $\frac{1}{3}$ Step 4: The missing expression is thus $a^{\frac{1}{3}}$
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