Algebra: A Combined Approach (4th Edition)

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 353: 45



Work Step by Step

We know that $a^{−n}=\frac{1}{a^{n}}$ and $\frac{1}{a^{-n}}=a^{n}$ (as long as a is a nonzero real number and n is an integer). Therefore, $\frac{6x^{2}y^{3}z^{0}}{-7x^{2}y^{5}z^{5}}=-\frac{6}{7}\times x^{2-2}\times y^{3-5}\times z^{0-5}=-\frac{6}{7}\times x^{0}\times y^{-2}\times z^{-5}=-\frac{6}{7}\times1\times\frac{1}{y^{2}}\times\frac{1}{z^{5}}=-\frac{6}{7y^{2}z^{5}}$.
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