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The problem asks to calculate \( \log_{10} 0.01 \).

We know that logarithms express the exponent to which the base must be raised to obtain a given number. In this case:

\[
\log_{10} 0.01
\]

Since \( 0.01 \) can be written as \( 10^{-2} \), we have:

\[
\log_{10} 0.01 = \log_{10} 10^{-2}
\]

The logarithm of a power of 10 is simply the exponent, so:

\[
\log_{10} 10^{-2} = -2
\]

Thus, the answer is:

\[
\boxed{-2}
\]

Let me know if you want more details or have any questions!

Here are 5 related questions you might find useful:

1. What is the value of \( \log_{10} 1 \)?
2. How would you calculate \( \log_{10} 1000 \)?
3. What is the general rule for logarithms of powers of 10?
4. How does the change of base formula work in logarithms?
5. Can you calculate \( \log_{2} 8 \) using the same principles?

**Tip:** Logarithms can often simplify complex calculations involving powers, especially when the base is 10 or another common number like 2 or e.

Learn how to calculate log_10(0.01) by applying the power rule of logarithms. This solution breaks down the exponent and logarithmic concepts to provide a clear understanding. Suitable for students in Grades 9-12.

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