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 82: 158

Answer

$$x^{(n-1)} \cdot x^{(3n+4)}=x^{4n+3}$$

Work Step by Step

$$x^{(n-1)} \cdot x^{(3n+4)}$$ Recall the product rule: $a^{m}⋅a^{n}=a^{m+n}$ Thus, $$x^{(n-1)} \cdot x^{(3n+4)}$$ $$x^{(n-1)+(3n+4)}$$ Remove the parentheses in the exponents: $$x^{(n-1)+(3n+4)}$$ $$=x^{4n+3}$$
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