olve for mm. Express your answer in simplest radical form if necessary.
minus, 1000, equals, m, cubed
−1000=
m
3

To solve for \( m \) in the equation:

\[
-1000 = m^3
\]

### Step 1: Isolate \( m^3 \)
The equation is already in a form where \( m^3 \) is isolated:

\[
m^3 = -1000
\]

### Step 2: Take the cube root of both sides
To solve for \( m \), take the cube root of both sides:

\[
m = \sqrt[3]{-1000}
\]

### Step 3: Simplify the cube root
The cube root of \(-1000\) is \(-10\), because:

\[
(-10)^3 = -10 \times -10 \times -10 = -1000
\]

Thus, the solution is:

\[
m = -10
\]

Would you like further details or explanations? Here are some related questions to expand on this topic:

1. How do cube roots work with negative numbers?
2. Can you explain the difference between square roots and cube roots?
3. What are some examples of other cube roots?
4. How do you solve higher-degree polynomials like \( m^4 \) or \( m^5 \)?
5. What is the general formula for solving \( m^3 = x \)?

**Tip**: Cube roots can return negative values because multiplying three negative numbers results in a negative number.

Solve for m. Express your answer in simplest radical form if necessary. -1000 = m^3

Learn how to solve the equation -1000 = m^3 by taking the cube root of both sides. This problem demonstrates key algebraic concepts like exponents and cube roots. Detailed step-by-step solution provided for students in Grades 8-10.

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