
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
Given that the sequence {a_n} is a geometric sequence, and $a_2a_3a_4=64$ and $\sqrt{a_6a_8}=16$, calculate the value of $\left(\frac{1}{4}\right)^{-2} \times 2^{-3} - a_5^{\frac{1}{3}}$.

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