
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
Observe the following pattern: $3=3$, $3^2=9$, $3^3=27$, $3^4=81$, $3^5=243$, $3^6=729$... Use the pattern you find to write out the last digit of $3^{2010}$.

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