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: 18

Answer

a. $3^{-3}.3^{-1} = \frac{1}{3^{4}} = \frac{1}{81}$ b. $\frac{5^{4}}{5} = 5^{3} = 125 $ c. $\frac{7^{2}}{7^{5}} = 7^{-3} = \frac{1}{343} $

Work Step by Step

a. $3^{-3}.3^{-1} = 3^{-3-1} = 3^{-4} = \frac{1}{3^{4}} = \frac{1}{81}$ b. $\frac{5^{4}}{5} = 5^{4}.5^{-1} = 5^{4-1} = 5^{3} = 125 $ c. $\frac{7^{2}}{7^{5}} = 7^{2}.7^{-5} = 7^{2-5} = 7^{-3} = \frac{1}{343} $
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