Answer
$a^2b^2$
Work Step by Step
Using the properties of radicals, then,
\begin{array}{l}
\dfrac{\sqrt{a^7b^6}}{\sqrt{a^3b^2}}
\\\\=
\sqrt{\dfrac{a^7b^6}{a^3b^2}}
\\\\=
\sqrt{a^{7-3}b^{6-2}}
\\\\=
\sqrt{a^{4}b^{4}}
\\\\=
a^2b^2
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 7 - Section 7.3 - Simplifying Radical Expressions - Exercise Set - Page 433: 68
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