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To evaluate \(\left(\frac{1}{2}\right)^{-2}\) and write the answer as a fraction or whole number, let’s go through the steps:

1. **Apply the Negative Exponent Rule**: Recall that a negative exponent means we take the reciprocal of the base and make the exponent positive. Therefore:
   \[
   \left(\frac{1}{2}\right)^{-2} = \left(\frac{2}{1}\right)^2
   \]

2. **Simplify the Reciprocal**: The reciprocal of \(\frac{1}{2}\) is \(\frac{2}{1}\), which is just \(2\).

3. **Apply the Positive Exponent**: Now, we raise \(2\) to the power of \(2\):
   \[
   2^2 = 4
   \]

So, \(\left(\frac{1}{2}\right)^{-2} = 4\).

**Answer**: \(4\)

Would you like further details or have any questions about this solution?

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Here are some related questions you might find helpful:

1. How do you evaluate expressions with negative exponents in general?
2. What is the rule for simplifying a fraction raised to a negative exponent?
3. Why does \(\left(\frac{1}{a}\right)^{-n} = a^n\) hold for any \(a \neq 0\)?
4. What happens when you raise a fraction with both a numerator and denominator greater than 1 to a negative exponent?
5. How would this problem change if the exponent were positive?

**Tip**: When dealing with negative exponents, always start by taking the reciprocal of the base, then apply the exponent.

Evaluate. Write your answer as a fraction or whole number without exponents: \( \left(\frac{1}{2}\right)^{-2} \)

Learn how to evaluate \(\left(\frac{1}{2}\right)^{-2}\) and express the answer as a fraction or whole number without exponents. This problem covers key concepts like negative exponents and fraction simplification, ideal for students in Grades 6-8.

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