Answer
$\frac{5}{z^{2}}$
Work Step by Step
$\frac{5^{-1}z^{7}}{5^{-2}z^{9}}=\frac{5^{-1}}{5^{-2}}\times\frac{z^{7}}{z^{9}}=5^{-1-(-2)}\times z^{7-9}=5^{-1+2}\times z^{-2}=5^{1}\times z^{-2}=5\times \frac{1}{z^{2}}=\frac{5}{z^{2}}$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 5 - Section 5.2 - Negative Exponents and Scientific Notation - Exercise Set - Page 354: 54
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