College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.3 - Integer Exponents and Scientific Notation - P.3 Exercises - Page 23: 23


a. $a^{6}$ b. $a^{18}$ c. $20x^{8}$

Work Step by Step

a. $\frac{a^{9}a^{-2}}{a} = a^{9-2-1} = a^{6}$ b. $(a^{2}a^{4})^{3} = (a^{2+4})^{3}= (a^{6})^{3}= (a^{6\times3})=a^{18}$ c. $(2x)^{2}(5x^{6}) = (4x^{2})(5x^{6}) =4\times5 x^{2+6} =20x^{8}$
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