To rewrite \(\frac{1}{10,000}\) as a power of 10, you can express \(10,000\) as a power of 10. Since \(10,000 = 10^4\), the fraction becomes:

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

So, \(\frac{1}{10,000}\) can be written as \(10^{-4}\).

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Here are five related questions:
1. How would you rewrite \(\frac{1}{100}\) as a power of 10?
2. What is \(\frac{1}{1,000,000}\) in terms of powers of 10?
3. How do you express \(1,000\) as a power of 10?
4. What is the result of multiplying two powers of 10, such as \(10^2 \times 10^{-3}\)?
5. How do negative exponents work in terms of fractions?

**Tip:** When dividing by powers of 10, the exponent becomes negative.

Learn how to rewrite the fraction 1/10,000 as a power of 10. This problem explains the key concepts of exponentiation and powers of 10, and provides a step-by-step solution for understanding negative exponents. Suitable for students in Grades 6-8.

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