
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
$(1)$ State the operation laws or rules used in each step of the following calculation:<br/>$(-0.4)\times \left(-0.8\right)\times \left(-1.25\right)\times 2.5$<br/>$=-\left(0.4\times 0.8\times 1.25\times 2.5\right) \text{(Step 1)}$<br/>$=-\left(0.4\times 2.5\times 0.8\times 1.25\right) \text{(Step 2)}$<br/>$=-\left[\left(0.4\times 2.5\right)\times \left(0.8\times 1.25\right)\right] \text{(Step 3)}$<br/>$=-\left(1\times 1\right)=-1$.<br/>$(2)$ Calculate the following expression using a simpler method: $(-\frac{5}{8})×\frac{3}{14}×(-\frac{16}{5})×(-\frac{7}{6})$.

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