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: 102

Answer

$x^{\frac{3}{8}}$

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 $a$, $\frac{4}{8}=\frac{1}{8}+a$ Step 3: Therefore, $a$ = $\frac{4}{8}-\frac{1}{8}$ = $\frac{3}{8}$ Step 4: The missing expression is thus $x^{\frac{3}{8}}$
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