https://file.aiquickdraw.com/mathbot/file/17285964903039w7aouq4.jpg

The expression in the image is:

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

We can simplify this by calculating \(5^3\), which means \(5 \times 5 \times 5 = 125\).

So, the simplified expression becomes:

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

This is the final result.

Would you like further details or have any questions?

Here are five related questions you can explore:
1. What is the value of \( \frac{1}{5^2} \)?
2. How do negative exponents affect an expression like \(5^{-3}\)?
3. What is the decimal equivalent of \( \frac{1}{125} \)?
4. How would this expression change if the exponent was 4 instead of 3?
5. Can you represent \(5^3\) as a product of prime factors?

**Tip:** When working with exponents, remember that \(a^b\) means multiplying \(a\) by itself \(b\) times.

Learn how to simplify the expression 1 / 5^3 by calculating the value of 5 raised to the power of 3. This step-by-step guide covers the laws of exponents and simplification techniques. Ideal for students in Grades 6-8.

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