https://file.aiquickdraw.com/mathbot/file/1725920507880aqbe749g.jpg

The equation shown in the image is:

\[
-64 = m^3
\]

We are tasked with solving for \( m \), and we may need to express the answer in simplest radical form if necessary.

### Steps to solve:

1. Start by isolating \( m \) by taking the cube root of both sides:
   \[
   m = \sqrt[3]{-64}
   \]

2. The cube root of a negative number is negative, so we calculate the cube root of \( 64 \):
   \[
   \sqrt[3]{64} = 4
   \]

3. Therefore:
   \[
   m = -4
   \]

### Final Answer:
\[
m = -4
\]

Would you like any further details or have additional questions?

Here are some related questions:
1. How do you find cube roots of negative numbers?
2. What is the difference between square roots and cube roots?
3. Can a cube root result in a complex number?
4. What are the properties of cube roots?
5. How do you solve equations with higher powers like \( m^5 \)?

**Tip:** When working with cube roots, remember that unlike square roots, they can be taken of negative numbers.

Solve for m. Express your answer in simplest radical form if necessary. -64 = m^3

Learn how to solve for m in the equation -64 = m^3. This problem covers key algebraic concepts, including cube roots and their properties. Suitable for students in Grades 9-12.

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