
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
Evaluate the expression
\[
(2^1+3^1)(2^2+3^2)(2^4+3^4)(2^8+3^8)(2^{16}+3^{16})(2^{32}+3^{32})(2^{64}+3^{64})
\]
and express it in a simplified exponential form.
A) $3^{127} - 2^{127}$
B) $3^{127} + 2^{127}$
C) $3^{129} - 2^{129}$
D) $3^{128} + 2^{128}$
E) $3^{128} - 2^{128}$

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