Answer
$\frac{a}{b}$
Work Step by Step
$\frac{a^{3}}{b^{2}}\times\frac{b}{a^{2}}$
$= \frac{a^{3}\times b}{b^{2}\times a^{2}}$
$= \frac{(a\times a^{2}) \times b}{(b\times b)\times a^{2}}$
$= \frac{a\times b}{ (b\times b) }$
$= \frac{a}{b}$
Prealgebra (7th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321955048
ISBN 13:
978-0-32195-504-3
Chapter 4 - Section 4.3 - Multiplying and Dividing Fractions - Practice - Page 241: 9
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