Answer
$81x^8y^{10}$
Work Step by Step
Using $(cx^a)^b=c^bx^{ab}$, the given expression, $
(9x^4y^5)^2
,$ simplifies to
\begin{array}{l}\require{cancel}
(9)^2
x^{4(2)}y^{5(2)}
\\\\=
81x^8y^{10}
.\end{array}
Elementary Algebra
by Kaufmann, Jerome; Schwitters, Karen;
Published by
Cengage Learning
ISBN 10:
1285194055
ISBN 13:
978-1-28519-405-9
Chapter 5 - Exponents and Polynomials - 5.2 - Multiplying Monomials - Problem Set 5.2 - Page 200: 39
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