Answer
$-125p^{9}$
Work Step by Step
The given expression is
$=(-5p^3)^{3}$
Use $(ab)^n=a^nb^n$.
$=(-5)^{3}(p^3)^{3}$
Use $(a^m)^n=a^{m\cdot n}$.
$=(-5)^{3}p^{3\cdot3}$
Use $(-5)^3=-125$.
$=-125p^{9}$.
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 6 - Exponential Functions and Sequences - 6.1 - Properties of Exponents - Exercises - Page 297: 42
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