
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
If $\log_{10}{\left(m^2\right)} = b - 2\log_{10}{n}$, then find $m$.
**A)** $\frac{10^b}{n}$
**B)** $\frac{10^{b/2}}{n}$
**C)** $\pm \frac{10^{b/2}}{n}$
**D)** $\frac{n}{10^b}$
**E)** $\pm \frac{10^b}{n}$

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