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.