https://file.aiquickdraw.com/mathbot/file/1728750631798jub3ktq7.jpg

The given image shows the mathematical expression:

\[
\sqrt[3]{-64}
\]

This represents the cube root of \(-64\). To solve this, we need to find a number that, when multiplied by itself three times, equals \(-64\).

We know:

\[
(-4) \times (-4) \times (-4) = -64
\]

So:

\[
\sqrt[3]{-64} = -4
\]

The answer is \(-4\).

Would you like a more detailed explanation or have any additional questions? Here are some related questions you could explore:

1. What is the cube root of a positive number, like \(64\)?
2. How do cube roots differ from square roots for negative numbers?
3. Can you take the even root (e.g., square root) of a negative number?
4. What are imaginary numbers and how do they relate to negative square roots?
5. How can cube roots be calculated using a calculator or manually?

**Tip:** Cube roots of negative numbers always result in a negative value, since multiplying an odd number of negative factors results in a negative product.

Learn how to solve the cube root of -64 with a detailed step-by-step solution. This problem covers algebraic concepts, negative numbers, and cube root calculations. Suitable for students in Grades 8-10.

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