
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 $(2 \frac {7}{9})^{0.5}+(0.1)^{-2}+(2 \frac {10}{27})^{- \frac {2}{3}}-3π^{0}+ \frac {37}{48}$
2. Simplify $(a^{ \frac {8}{5}}\cdot b^{- \frac {6}{5}})^{- \frac {1}{2}} \cdot 5a^{4} ÷ 5b^{3} (a\neq 0,b\neq 0)$.

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