
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 (all letters in the formula represent positive numbers)  
(1) $$( \frac {8s^{6}t^{-3}}{125r^{9}})^{- \frac {2}{3}}$$  
(2) $$(3x^{ \frac {1}{4}}+2y^{- \frac {1}{2}})(3x^{ \frac {1}{4}}-2y^{- \frac {1}{2}})$$．

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