
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
(1) Calculate: $$0.064^{- \frac {1}{3}}-(- \frac {1}{8})^{0}+7^{\log_{7}2}+0.25^{ \frac {5}{2}}\times0.5^{-4}$$;  
(2) Given $a=\lg2$, $10^{b}=3$, express $$\log_{6} \sqrt {30}$$ in terms of $a$ and $b$.

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