Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.2 - Exponents and Radicals - 1.2 Exercises: 33


a) $a^6$ b) $a^{18}$ c) $\frac{5x^9}{8}$

Work Step by Step

a) $\frac{a^{9}a^{-2}}{a}$ = $a^{9-2-1}$ = $a^{6}$ b) $(a^{2}$$a^{4})^3$ = $a^{(2+4)}$$^{3}$ = $a^{(6)}$$^{(3)}$ = $a^{18}$ c) $(\frac{x}{2})$$^3$(5$x^6$) = $\frac{x^3}{2^3}$(5$x^6$) = $\frac{5x^3x^6}{8}$ = $\frac{5x^{3+6}}{8}$ = $\frac{5x^{9}}{8}$
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