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The simplified form of the given expression \(- \sqrt[3]{54} + 3 \sqrt[3]{128}\) is:

\[
9 \cdot 2^{1/3}
\]

This represents \(9\) times the cube root of 2.

Would you like any further details or clarification? 

Here are some follow-up questions for deeper understanding:

1. How do cube roots differ from square roots in terms of their properties?
2. Can we express \(2^{1/3}\) in decimal form for a more approximate result?
3. How would this expression change if the signs were different in front of the terms?
4. What are the steps for simplifying cube roots like \( \sqrt[3]{54} \) and \( \sqrt[3]{128} \)?
5. How do we handle cube roots when they involve variables instead of constants?

**Tip:** When simplifying cube roots, it's helpful to factor numbers into cubes of smaller numbers to see if you can simplify further.

Learn how to simplify the expression - ³√54 + 3 ³√128 using properties of cube roots and radicals. This solution breaks down the problem step-by-step, using the product rule and properties of exponents. Suitable for students in Grades 9-10.

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