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: 13



Work Step by Step

Comparing some powers with the same exponent (greater than 1), but with different bases $a=3:\quad 2^{3}=8,\quad 3^{3}=27,\quad 10^{3}=1,000$, $a=4:\quad 2^{4}=16,\quad 3^{4}=81,\quad 10^{4}=10,000$, we observe a pattern in which $x^{a} \lt y^{a}$, when $x \lt y \ $ and $\ a\gt 1$ Here, $y$ is the greater base, so $y^{a}$ is the greater power.
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