Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - Concept Byte - Page 447: 12



Work Step by Step

Our conjecture, based on the pattern we observed in exercises 7-10, is: For bases $a$ greater than 1, as the exponent $x$ increases, the power $a^{x}$ increases. We are given here that the base is greater than 1, and the exponent $y$ is greater than the exponent $x.$ It would follow, based on the pattern we noted, that $a^{y} $ is greater than $a^{x}.$
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