
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) Find the value of ${(2\frac{1}{4})}^{\frac{1}{2}}+{(0.34)}^{0}$;  
(2) Simplify: $\frac{{(\sqrt[3]{{a}^{2}b})}^{2}•\sqrt[3]{a}}{\sqrt[3]{b}•\sqrt[3]{{a}^{2}{b}^{4}}}(a>0,b>0)$.

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