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The given expression simplifies to:

\[
w^{14 \times 1.214} = w^{16.999} \approx w^{17}
\]

Thus, the simplified form is \( w^{17} \).

Would you like more details on any of these steps or another explanation? Here are a few questions that build on this concept:

1. How does the simplification process change for different powers of exponents?
2. Can fractional exponents be converted to radicals easily?
3. What rules of exponents apply when dealing with nested roots?
4. How can radical expressions be rationalized in general?
5. How does exponentiation impact the behavior of complex variables?

**Tip**: When simplifying expressions with fractional exponents, always look for patterns in the base and exponents to combine powers effectively.

Simplify the expression: ((17th root of w^14)^2)^(17/14).

This problem involves simplifying an expression using exponentiation and radicals. It covers key mathematical concepts such as the laws of exponents and the simplification of radicals. Suitable for students in Grades 11-12.

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