
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
In the geometric sequence ${a_n}$, the common ratio is $2$, and the product of the first 30 terms is ${2^{60}}$. Determine the value of $a_1 \cdot a_4 \cdot a_7 \cdot ... \cdot a_{28}$.

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