
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
Calculate the product:
\[
(3+5)(3^2+5^2)(3^4+5^4)(3^8+5^8)(3^{16}+5^{16})(3^{32}+5^{32})(3^{64}+5^{64})(3^{128}+5^{128})
\]

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