The cube root of \(512\) can be calculated as follows:

\[
\sqrt[3]{512} = 8
\]

This is because \(8^3 = 8 \times 8 \times 8 = 512\).

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Here are five related questions:
1. What is \(\sqrt[3]{729}\)?
2. How do you simplify \(\sqrt[3]{64}\)?
3. What is the cube of \(7\)?
4. Calculate \(\sqrt[3]{1000}\).
5. What is the value of \(5^3\)?

**Tip:** To quickly find the cube root of a number, try to identify a number that, when multiplied by itself three times, equals the given number.

Learn how to calculate the cube root of 512 with a step-by-step explanation. This problem involves understanding cube roots and exponentiation. Suitable for students in Grades 6-8.

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