Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 8 - Systems of Linear Equations and Problem Solving - 8.1 Systems of Equations in Two Variables - 8.1 Exercise Set - Page 509: 60

Answer

$$\frac{6y^8}{x^5}$$

Work Step by Step

We know the following rules of exponents. The list of names is on page 330. $$ (1) \ a^m\cdot a^n = a^{m+n} \\ (2) \ (ab)^m =a^mb^m \\ (3) \ (a^m)^n =a^{mn} \\ (4) \ a^{-m} = \frac{1}{a^m} \\ (5)\ \frac{a^m}{a^n} =a^{m-n} \\ (6) \ a^0=1 \\ (7) \ (\frac{a}{b})^m =\frac{a^m}{b^m}$$ Thus, we find: $$ 3\cdot \:2\cdot \frac{1}{y^4}x^{-7}x^2y^{12}\\ \frac{6x^2y^{12}}{x^7y^4}\\ \frac{6y^{12-4}}{x^5}\\ \frac{6y^8}{x^5}$$
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