Answer
$z^5$
Work Step by Step
The given expression is
$=\frac{z^8\cdot z^2}{z^5}$
Use $a^n\cdot b^m=a^{n+ m}$.
$=\frac{z^{8+2}}{z^5}$
Simplify.
$=\frac{z^{10}}{z^5}$
Use $\frac{x^n}{x^m}=x^{n-m}$
$=z^{10-5}$
Simplify.
$=z^5$.
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 296: 32
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