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