
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 $\log_{2}{m}= 2b-\log_{2}{n^2}$, find the value of \( m \).
A) $\frac{2^b}{n}$
B) $\frac{4^b}{n^2}$
C) $4^b n^2$
D) $2^b - n^2$
E) $\frac{2^b}{n^2}$

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