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To rewrite \( \frac{1}{10,000} \) as a power of 10, we first express 10,000 as a power of 10.

\[
10,000 = 10^4
\]

Therefore, we can rewrite the expression as:

\[
\frac{1}{10,000} = \frac{1}{10^4} = 10^{-4}
\]

So, \( \frac{1}{10,000} \) is equal to \( 10^{-4} \) when expressed as a power of 10.

Would you like further details or have any questions?

Here are 5 related questions to explore further:
1. How would you express \( \frac{1}{1,000,000} \) as a power of 10?
2. What is the general rule for converting fractions of powers of 10?
3. How do you express \( 0.01 \) as a power of 10?
4. What is the value of \( 10^{-4} \) in decimal form?
5. Can you express \( 10^2 \times 10^{-5} \) as a single power of 10?

**Tip:** When dividing by powers of 10, remember that the exponent becomes negative. For example, \( \frac{1}{10^n} = 10^{-n} \).

Learn how to rewrite 1 divided by 10,000 as a power of 10, which introduces the concept of negative exponents. This step-by-step solution is perfect for students in grades 6-8 exploring powers of 10.

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