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The problem asks to express the given numbers as powers of 10. Let's go through each one:

1. \( 10 \, 000 \) = \( 10^4 \)
2. \( \frac{1}{100} \) = \( 10^{-2} \)
3. \( 10 \, 000^2 \) = \( 10^8 \) 
4. \( 0.01 \) = \( 10^{-2} \)
5. \( 0.001 \) = \( 10^{-3} \)
6. \( 1 \, 000 \, 000 \) = \( 10^6 \)
7. \( \frac{1}{10 \, 000} \) = \( 10^{-4} \)
8. \( 0.00001 \) = \( 10^{-5} \)

Would you like a detailed explanation of how each number was converted into a power of 10?

Here are 5 questions to further practice powers of 10:

1. What is \( 0.0001 \) expressed as a power of 10?
2. Convert \( 10^7 \) to a decimal form.
3. How would you express \( \frac{1}{1 \, 000 \, 000} \) using a power of 10?
4. Express \( 1 \, 000 \) in scientific notation.
5. If \( 10^{-3} \) is multiplied by \( 10^2 \), what is the result?

**Tip:** Remember, every decimal place shift to the right lowers the power of 10 by 1, and every shift to the left increases it by 1.

Express the following numbers as powers of 10:

a) 10,000
b) 1/100
c) 10,000²
d) 0.01
e) 0.001
f) 1,000,000
g) 1/10,000
h) 0.00001

Learn how to express numbers like 10,000, 1/100, and 0.001 as powers of 10. This problem covers key concepts in powers of 10 and scientific notation, ideal for students in Grades 6-8.

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