
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
\[ 
\frac{\left(\sqrt[5]{a^{4 / 3}}\right)^{3 / 2}}{\left(\sqrt[5]{a^{4}}\right)^{3}}: \frac{\left(\sqrt{a \sqrt[3]{a^{2} b}}\right)^{4}}{(\sqrt[4]{a \sqrt{b}})^{6}}
\]

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