https://file.aiquickdraw.com/mathbot/file/1725914220411b9m3krgh.jpg

The equation presented is:

\[
-64 = m^3
\]

To solve for \( m \), you need to take the cube root of both sides of the equation. The cube root of a number is the value that, when cubed, gives that number. Here's the step-by-step solution:

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

The cube root of \(-64\) is \(-4\), because:

\[
(-4)^3 = -64
\]

Thus, the solution is:

\[
m = -4
\]

Would you like more details or have any questions? Here are five related questions you might want to explore:

1. How do you solve \( m^3 = 125 \)?
2. What is the cube root of a negative number in general?
3. How do you simplify radical expressions involving cubes?
4. What happens when you cube a fraction?
5. Can cube roots ever result in irrational numbers?

**Tip:** Cube roots of negative numbers are always negative because the cube of a negative number is negative!

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

Learn how to solve the cube root equation -64 = m^3 with a detailed step-by-step solution. This problem covers algebraic concepts involving cube roots and radical expressions. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation