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The given equations are:

\[
z = e^{\frac{5\pi}{9}}, \quad w = 30e^{\frac{3\pi}{11}}
\]

These are expressions involving the exponential function \( e \) raised to powers involving multiples of \( \pi \).

Would you like me to evaluate these expressions, find their approximate numerical values, or analyze them further in some other way?

### Follow-up Questions:
1. Would you like to compute the approximate values of \( z \) and \( w \)?
2. Should I help you understand the structure of these exponential expressions?
3. Are you looking to explore how these equations might relate to complex numbers?
4. Do you want to compare the magnitudes of \( z \) and \( w \)?
5. Would you like to see how these expressions might be applied in a practical context?

**Tip:** In problems involving exponentials with terms involving \( \pi \), the expressions often appear in fields like signal processing or physics, especially in wave and oscillation-related problems.

Explore the detailed solution for solving exponential expressions z = e^(5π/9) and w = 30e^(3π/11). Learn key concepts like Euler's number, exponential functions, and complex numbers. Ideal for undergraduate-level students studying advanced mathematics.

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