Solve for mm. Express your answer in simplest radical form if necessary.
125, equals, m, cubed
125=
m
3

We are given the equation:

\[
125 = m^3
\]

To solve for \( m \), we need to take the cube root of both sides:

\[
m = \sqrt[3]{125}
\]

Since \( 125 = 5^3 \), we have:

\[
m = 5
\]

Thus, \( m = 5 \).

Do you want more details or have any questions? Here are five related questions to consider:

1. How do you solve equations involving higher powers, like \( m^4 \)?
2. What is the cube root of negative numbers, such as \( \sqrt[3]{-27} \)?
3. How do you solve \( m^3 = 64 \) and express the answer in simplest radical form?
4. What is the general method for solving \( m^n = k \) for different values of \( n \)?
5. Can all cubic equations be solved exactly, or are there cases that require approximation?

**Tip:** Always check if a number can be written as a perfect cube for easier cube root calculations.

Solve for m. Express your answer in simplest radical form if necessary. 125 = m^3

Learn how to solve the equation 125 = m^3 using cube roots and express the answer in its simplest form. This problem covers algebraic concepts such as cube roots and radicals, and it's ideal for students in Grades 8-10.

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