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The expression given is \( 5^{-3} \), and you are asked to write it as a fraction in its simplest form, without using indices (exponents).

To simplify:

\[
5^{-3} = \frac{1}{5^3}
\]

Now calculate \( 5^3 \):

\[
5^3 = 5 \times 5 \times 5 = 125
\]

So:

\[
5^{-3} = \frac{1}{125}
\]

Thus, \( 5^{-3} \) as a fraction in its simplest form is:

\[
\boxed{\frac{1}{125}}
\]

Would you like further explanation or have any questions?

Here are five related questions:
1. What would \( 7^{-2} \) be as a fraction?
2. How do negative exponents behave in fractions?
3. What is the general rule for converting a negative exponent to a fraction?
4. How does \( a^{-n} \) differ from \( a^n \) in general?
5. Can you express \( \frac{1}{125} \) in decimal form?

**Tip**: When you encounter a negative exponent, remember that it means the reciprocal of the base raised to the positive version of the exponent.

Write 5^{-3} as a fraction in its simplest form, without any indices.

Learn how to convert 5^{-3} to a fraction in its simplest form without indices. This problem covers key concepts like negative exponents and their role in converting to fractions. Suitable for students in Grades 6-8.

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