Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.1 Algebra Essentials - A.1 Assess Your Understanding - Page A12: 89

Answer

$\frac{1}{9}$.

Work Step by Step

The given expression is $=3^{-6}\cdot 3^4$ Use the law of exponents $a^{b}\cdot a^c=a^{b+c}$ We have $a=3,b=-6$ and $c=4$ $=3^{-6+4}$ Simplify. $=3^{-2}$ Use the law of exponents $a^{-b}=\frac{1}{a^b}$ We have $a=3$ and $b=2$ $=\frac{1}{3^{2}}$ Use $3^2=9$. $=\frac{1}{9}$.
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