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The problem asks to simplify \(\left( \frac{1}{125} \right)^{-1}\).

To simplify this expression, we use the property of exponents that states \( \left( \frac{a}{b} \right)^{-n} = \left( \frac{b}{a} \right)^n \). Applying this rule:

\[
\left( \frac{1}{125} \right)^{-1} = \frac{125}{1} = 125
\]

Thus, the simplified form of \(\left( \frac{1}{125} \right)^{-1}\) is \(125\).

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Here are five related questions for practice:
1. Simplify \(\left( \frac{1}{27} \right)^{-1}\).
2. Simplify \(\left( \frac{1}{64} \right)^{-2}\).
3. What is the simplified form of \(\left( 2^{-3} \right)^{-1}\)?
4. Simplify \(\left( \frac{1}{81} \right)^{-1}\).
5. Find the value of \(\left( \frac{5}{1} \right)^{-2}\).

**Tip:** Remember that applying a negative exponent to a fraction flips the fraction!

Bentuk sederhana dari \left( \frac{1}{125} \right)^{-1} adalah....

Learn how to simplify the expression \left( \frac{1}{125} \right)^{-1}. This math problem uses key concepts of exponents and reciprocal properties and is suitable for students in Grades 8-10.

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