
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 $\frac{a^{-3}-b^{-3}}{a^{-\frac{3}{2}}-b^{-\frac{3}{2}}}$.
A) $a^{-\frac{3}{2}} + b^{-\frac{3}{2}}$  
B) $a^{-2} + a^{-\frac{3}{2}}b^{-\frac{3}{2}} + b^{-2}$  
C) $a^{-2} + a^{-1}b^{-1} + b^{-2}$  
D) $a + b$  
E) $a^{2} + b^{2}$

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