Answer
$-x^{14}y^{21}$
Work Step by Step
Using $(cx^a)^b=c^bx^{ab}$, the given expression, $
(-x^2y^3)^7
,$ simplifies to
\begin{array}{l}\require{cancel}
(-1)^7
x^{2(7)}y^{3(7)}
\\\\=
-1x^{14}y^{21}
\\\\=
-x^{14}y^{21}
.\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: 46
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