To express \( 0.04 \) as a power of 5, let's follow these steps:

1. Convert \( 0.04 \) to a fraction:
   \[
   0.04 = \frac{4}{100} = \frac{1}{25}
   \]

2. Express \( 25 \) as a power of 5:
   \[
   25 = 5^2
   \]

3. Now, rewrite \( \frac{1}{25} \) as a power of 5:
   \[
   \frac{1}{25} = \frac{1}{5^2} = 5^{-2}
   \]

Thus, \( 0.04 = 5^{-2} \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you express \( 0.0025 \) as a power of 5?
2. What is the value of \( 5^{-3} \)?
3. How do you convert decimals like \( 0.001 \) into powers of any number?
4. How would you express \( 0.16 \) as a power of 2?
5. What is the result of \( 5^{-2} \times 5^3 \)?

**Tip**: Any number in the form \( \frac{1}{a^n} \) can be written as \( a^{-n} \), making it easy to express fractions as negative exponents.

Discover how to express 0.04 as a power of 5 through detailed steps. This problem explains the conversion of decimals to fractions and demonstrates exponentiation rules, specifically rewriting fractions with negative exponents. Ideal for students in Grades 6-8.

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