
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A calculator has three keys: one that squares the displayed number, another that takes the reciprocal of the displayed number, and a third that cubes the displayed number. Let $y$ be the final result when one starts with a number $x \neq 0$ and performs the following sequence of operations: square, reciprocate, cube, repeating this sequence $n$ times each. What is $y$ equal to?
A) $x^{(6^n)}$
B) $x^{(-6)^n}$
C) $x^{(-2^n)}$
D) $x^{(2^n)}$

Present the answer in LaTex format: \boxed{Your answer}
user