## Algebra 1: Common Core (15th Edition)

$a^{y}$
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 $a^{x}.$