To evaluate \((\frac{1}{2})^{-3}\), you can use the property of exponents that states \(a^{-n} = \frac{1}{a^n}\). 

So,

\[
\left(\frac{1}{2}\right)^{-3} = \frac{1}{\left(\frac{1}{2}\right)^3}
\]

Now calculate \(\left(\frac{1}{2}\right)^3\):

\[
\left(\frac{1}{2}\right)^3 = \frac{1^3}{2^3} = \frac{1}{8}
\]

Thus,

\[
\frac{1}{\left(\frac{1}{2}\right)^3} = \frac{1}{\frac{1}{8}} = 8
\]

Therefore, \((\frac{1}{2})^{-3} = 8\).

Would you like more details or have any questions? Here are some related questions:

1. What are some other properties of exponents?
2. Can you explain how negative exponents work in more depth?
3. How would you solve \((\frac{3}{4})^{-2}\)?
4. What is the general formula for converting negative exponents to positive ones?
5. How do you apply these rules in algebraic expressions?

**Tip:** Remember that a negative exponent indicates the reciprocal of the base raised to the opposite positive exponent.

Discover how to evaluate the expression (1/2)^{-3} using the properties of exponents. This step-by-step solution includes calculating the reciprocal and understanding negative exponents, suitable for students in Grades 6-8.

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