
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
In the world of sound, the sound intensity level is used to represent the relative magnitude of sound intensity. It is defined as $y=10\log_{10}\frac{I}{{I}_{0}}$, where $y$ is the sound intensity level in decibels ($dB$), $I$ is the sound intensity at a certain point in the sound field in watts per square meter ($W/m^{2}$), and ${I}_{0}=1{0}^{-12}W/{m}^{2}$ is the reference value. The sound intensity $I_{60}$ corresponding to a sound intensity level of $60dB$ is ______ times the sound intensity $I_{40}$ corresponding to a sound intensity level of $40dB$.

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