
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
The length of an open interval $\left(a,b\right)$ is defined as $b-a$. Through estimation, the zero point of the function $f(x)=\frac{1}{{2^x}}-{x^{\frac{1}{3}}}$ belongs to the open interval ____ $($just need to write one interval that meets the condition and does not exceed $\frac{1}{6}$ in length).

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