Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.6 - Properties of Integral Exponents - Exercise Set - Page 80: 98



Work Step by Step

$(-\frac{1}{3}x^{-5}y^{4}z^{6})(-18x^{-2}y^{-1}z^{-7})$ Recall the product rule: $a^{m}\cdot a^{n} = a^{m+n}$ Thus, $$(-\frac{1}{3}\cdot -18)(x^{-5-2})(y^{4-1})(z^{6-7})$$ $$=6(x^{-7})(y^{3})(z^{-1})$$ Recall the negative exponent rule: $a^{-n} = \frac{1}{a^n}$ Hence, $$=\frac{6y^3}{x^{7}z}$$
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