
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
Common operations involving exponents include: ① multiplication of exponents with the same base, ② division of exponents with the same base, ③ exponentiation of exponents, ④ exponentiation of a product. In the calculation "$(a^{3}\cdot a^{2})^{2}=(a^{3})^{2}(a^{2})^{2}=a^{6}\cdot a^{4}=a^{10}$", the operations used from the above "exponent operations" are____. (Fill in the numbers)

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