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: 17

Answer

a. $5^{4}.5^{-2} = 5^{2} = 25$ b. $\frac{10^{7}}{10^{4}} = 10^{3} = 1000 $ c. $\frac{3^{2}}{3^{4}} = 3^{-2} = \frac{1}{9} $

Work Step by Step

a. $5^{4}.5^{-2} = 5^{4-2} = 5^{2} = 25$ b. $\frac{10^{7}}{10^{4}} = 10^{7}.10^{-4} = 10^{7-4} = 10^{3} = 1000 $ c. $\frac{3^{2}}{3^{4}} = 3^{2}.3^{-4} = 3^{2-4} = 3^{-2} = \frac{1}{9} $
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