
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
Simplify the fraction $\frac{a^{-6} - b^{-6}}{a^{-3} - b^{-3}}$.
**A)** $a^{-3} + b^{-3}$  
**B)** $a^{-6} + b^{-6}$  
**C)** $a^{-6} + a^{-3}b^{-3} + b^{-6}$  
**D)** $a^{-3}b^{-3}$  
**E)** $a^3 + b^3$

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