It looks like you're dealing with an expression involving parentheses and exponents. The expression can be rewritten as:

\[
\left( \frac{1}{2} \right)^{3n} - \left( \frac{4}{5} \right)^3
\]

### Let's break this down:
1. \(\left( \frac{1}{2} \right)^{3n}\) is an expression where \(\frac{1}{2}\) is raised to the power of \(3n\).
2. \(\left( \frac{4}{5} \right)^3\) represents \(\frac{4}{5}\) raised to the power of 3.

### Simplifying:
\[
\left( \frac{4}{5} \right)^3 = \frac{4^3}{5^3} = \frac{64}{125}
\]

Thus, the full expression becomes:

\[
\left( \frac{1}{2} \right)^{3n} - \frac{64}{125}
\]

This is the simplified form unless more context (e.g., specific values for \(n\)) is provided.

Would you like further details on how to solve this for specific values of \(n\) or simplify further?

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**5 related questions:**
1. How do you handle fractional exponents in equations?
2. What happens if \(n = 1\) in this expression?
3. How do you approach expressions with multiple exponents?
4. Can this expression be simplified further for specific values of \(n\)?
5. What is the significance of negative exponents in expressions?

**Tip:** When dealing with exponents, always remember to apply the power rule for fractions carefully, raising both numerator and denominator to the given power.

Learn how to simplify expressions involving exponents and fractions like (1/2)^(3n) - (4/5)^3. This problem explores key algebraic concepts, including exponentiation rules and fraction manipulation, suitable for students in Grades 8-10.

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